Finding the Third Proportional to 472,442 and 707,355
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Solution
The third proportional to 472,442 and 707,355 is: 1,059,074.12
Step by Step Solution
- Step 1: Write the proportion equation
472,442 : 707,355 = 707,355 : x - Step 2: Convert to fraction form
472,442/707,355 = 707,355/x - Step 3: Cross multiply
472,442x = 707,355 × 707,355 - Step 4: Simplify right side
472,442x = 500,351,096,025 - Step 5: Solve for x
x = 500,351,096,025/472,442 - Step 6: Final answer
x = 1,059,074.12
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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.