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Finding the Third Proportional to 357,755 and 501,397

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Solution

The third proportional to 357,755 and 501,397 is: 702,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,755 : 501,397 = 501,397 : x
  2. Step 2: Convert to fraction form
    357,755/501,397 = 501,397/x
  3. Step 3: Cross multiply
    357,755x = 501,397 × 501,397
  4. Step 4: Simplify right side
    357,755x = 251,398,951,609
  5. Step 5: Solve for x
    x = 251,398,951,609/357,755
  6. Step 6: Final answer
    x = 702,712.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.