Finding the Third Proportional to 472,766 and 709,632
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Solution
The third proportional to 472,766 and 709,632 is: 1,065,172.99
Step by Step Solution
- Step 1: Write the proportion equation
472,766 : 709,632 = 709,632 : x - Step 2: Convert to fraction form
472,766/709,632 = 709,632/x - Step 3: Cross multiply
472,766x = 709,632 × 709,632 - Step 4: Simplify right side
472,766x = 503,577,575,424 - Step 5: Solve for x
x = 503,577,575,424/472,766 - Step 6: Final answer
x = 1,065,172.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.