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Finding the Third Proportional to 417,166 and 625,761

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Solution

The third proportional to 417,166 and 625,761 is: 938,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,166 : 625,761 = 625,761 : x
  2. Step 2: Convert to fraction form
    417,166/625,761 = 625,761/x
  3. Step 3: Cross multiply
    417,166x = 625,761 × 625,761
  4. Step 4: Simplify right side
    417,166x = 391,576,829,121
  5. Step 5: Solve for x
    x = 391,576,829,121/417,166
  6. Step 6: Final answer
    x = 938,659.50

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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.