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" In any proportion the product of the means is equal to the product of the extremes. "
Ray's Algebra, First Book: Primary Elements of Algebra, for Common Schools ... - Page 233
by Joseph Ray - 1866 - 240 pages
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Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - Arithmetic - 1880 - 420 pages
...Simple when both ratios are simple ; Compound when one or both ratios are compound. PRINCIPLES. — 1. In every proportion the product of the means is equal to the product of Hie extremes. 2. The product of the extremes divided by either mean, iritt give the other mean. < 3....
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...congruent angles. 10. AA = AA 11. Corresponding sides of similar triangles are in proportion. 12. In a proportion, the product of the means is equal to the product of the extremes. • PROBLEM 531 Using Ptolemy's Theorem show that if a anS b, with a ^ b, are chords of two arcs of...
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A Brief Course in Arithmetic

Ann Faber, Gale Edgerton, Paul Karanevich - Mathematics - 1985 - 254 pages
...proportion amounts to multiplying the "means" (inner numbers) and the "extremes" (outer numbers). If the product of the means is equal to the product of the extremes, the ratios are equal. 2X2 = 4 1:2 2:4 1 X4 = 4 4 = 4, so that 1 :2 = 2:4 is a proportion. I Example...
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Geometry I Essentials

The Editors of REA - Mathematics - 2013 - 112 pages
...c are called the means of the proportion. The single term d is called the fourth proportional. In a proportion, the product of the means is equal to the product of the extremes. Theorem 2 A proportion may be written by inversion. (If alb = eld, then bla = die.) Theorem 3 •i...
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Basic Math Concepts: For Water and Wastewater Plant Operators

Joanne K. Price - Technology & Engineering - 1991 - 380 pages
...proportion. The inside terms (2nd and 3rd) are called the means of a proportion. For all proportions, the product of the means is equal to the product of the extremes. In other words, when the two inside terms are multiplied, the answer will be the same as when the two...
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Merriam-Webster's Guide to Everyday Math: A Home and Business Reference

Brian Burrell - Mathematics - 1998 - 386 pages
...or as "/, = '//. The values b and c are referred to as the means; a and d are the extremes. In any proportion, the product of the means is equal to the product of the extremes. (This is also known as cross-multiplication.) THE RULE OF THREE "Do as you would be done by" is thought...
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Schaum's Outline of Basic Mathematics with Applications to Science and ...

Haym Kruglak, John Moore, Ramon Mata-Toledo - Mathematics - 1998 - 508 pages
...of the proportion. The above proportion can be written in fractional form as a/b = c/d. Rule. In any proportion, the product of the means is equal to the product of the extremes. Ratio For instance, 3:4 = 6:8 is a proportion and the product of the means is (4)(6) or 24 and the...
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Apollo's Lyre: Greek Music and Music Theory in Antiquity and the Middle Ages

Thomas J. Mathiesen - Music - 1999 - 832 pages
...proportion" (Kupionepoi; dvaXoyia), in which two middle terms form various ratios with the extremes and the product of the means is equal to the product of the extremes. This proportion is represented by 12:9:8:6, which embraces geometric proportion (12:8::9:6), harmonic...
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Strategies For Success On The Sat 2005: Mathematics Section

Lisa Muehle - Study Aids - 2004 - 239 pages
...proportion. The relationship between w and x is proportional to the relationship between y and z. In any proportion, the product of the means is equal to the product of the extremes. In the proportion above, x • y = w • z. SAT PRACTICE: RATIO & PROPORTION (SIMPLE RATIOS) Of 200...
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A Nurse's Guide to Dosage Calculation: Giving Medications Safely

Vicki Niblett - Medical - 2006 - 338 pages
...proportion closest to the equal sign are called the means. The parts at either end are called the extremes. The product of the means is equal to the product of the extremes. I- — means- — 4 12 chocolates: 25 candies = X chocolates: 100 candies -extremes — Means = 25...
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