Finding the Third Proportional to 532,012 and 731,572
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Solution
The third proportional to 532,012 and 731,572 is: 1,005,987.82
Step by Step Solution
- Step 1: Write the proportion equation
532,012 : 731,572 = 731,572 : x - Step 2: Convert to fraction form
532,012/731,572 = 731,572/x - Step 3: Cross multiply
532,012x = 731,572 × 731,572 - Step 4: Simplify right side
532,012x = 535,197,591,184 - Step 5: Solve for x
x = 535,197,591,184/532,012 - Step 6: Final answer
x = 1,005,987.82
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.