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Finding the Third Proportional to 283,929 and 625,469

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Solution

The third proportional to 283,929 and 625,469 is: 1,377,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,929 : 625,469 = 625,469 : x
  2. Step 2: Convert to fraction form
    283,929/625,469 = 625,469/x
  3. Step 3: Cross multiply
    283,929x = 625,469 × 625,469
  4. Step 4: Simplify right side
    283,929x = 391,211,469,961
  5. Step 5: Solve for x
    x = 391,211,469,961/283,929
  6. Step 6: Final answer
    x = 1,377,849.64

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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.