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Finding the Third Proportional to 283,932 and 625,474

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Solution

The third proportional to 283,932 and 625,474 is: 1,377,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,932 : 625,474 = 625,474 : x
  2. Step 2: Convert to fraction form
    283,932/625,474 = 625,474/x
  3. Step 3: Cross multiply
    283,932x = 625,474 × 625,474
  4. Step 4: Simplify right side
    283,932x = 391,217,724,676
  5. Step 5: Solve for x
    x = 391,217,724,676/283,932
  6. Step 6: Final answer
    x = 1,377,857.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.