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Finding the Third Proportional to 417,744 and 625,050

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Solution

The third proportional to 417,744 and 625,050 is: 935,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,744 : 625,050 = 625,050 : x
  2. Step 2: Convert to fraction form
    417,744/625,050 = 625,050/x
  3. Step 3: Cross multiply
    417,744x = 625,050 × 625,050
  4. Step 4: Simplify right side
    417,744x = 390,687,502,500
  5. Step 5: Solve for x
    x = 390,687,502,500/417,744
  6. Step 6: Final answer
    x = 935,231.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.