Finding the Third Proportional to 565,572 and 829,350
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Solution
The third proportional to 565,572 and 829,350 is: 1,216,151.83
Step by Step Solution
- Step 1: Write the proportion equation
565,572 : 829,350 = 829,350 : x - Step 2: Convert to fraction form
565,572/829,350 = 829,350/x - Step 3: Cross multiply
565,572x = 829,350 × 829,350 - Step 4: Simplify right side
565,572x = 687,821,422,500 - Step 5: Solve for x
x = 687,821,422,500/565,572 - Step 6: Final answer
x = 1,216,151.83
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.