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Finding the Third Proportional to 366,949 and 516,744

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Solution

The third proportional to 366,949 and 516,744 is: 727,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,949 : 516,744 = 516,744 : x
  2. Step 2: Convert to fraction form
    366,949/516,744 = 516,744/x
  3. Step 3: Cross multiply
    366,949x = 516,744 × 516,744
  4. Step 4: Simplify right side
    366,949x = 267,024,361,536
  5. Step 5: Solve for x
    x = 267,024,361,536/366,949
  6. Step 6: Final answer
    x = 727,687.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.