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Finding the Third Proportional to 417,252 and 625,593

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Solution

The third proportional to 417,252 and 625,593 is: 937,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,252 : 625,593 = 625,593 : x
  2. Step 2: Convert to fraction form
    417,252/625,593 = 625,593/x
  3. Step 3: Cross multiply
    417,252x = 625,593 × 625,593
  4. Step 4: Simplify right side
    417,252x = 391,366,601,649
  5. Step 5: Solve for x
    x = 391,366,601,649/417,252
  6. Step 6: Final answer
    x = 937,962.19

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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.