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Finding the Third Proportional to 639,494 and 938,505

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Solution

The third proportional to 639,494 and 938,505 is: 1,377,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,494 : 938,505 = 938,505 : x
  2. Step 2: Convert to fraction form
    639,494/938,505 = 938,505/x
  3. Step 3: Cross multiply
    639,494x = 938,505 × 938,505
  4. Step 4: Simplify right side
    639,494x = 880,791,635,025
  5. Step 5: Solve for x
    x = 880,791,635,025/639,494
  6. Step 6: Final answer
    x = 1,377,325.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.