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Finding the Third Proportional to 283,930 and 625,471

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Solution

The third proportional to 283,930 and 625,471 is: 1,377,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,930 : 625,471 = 625,471 : x
  2. Step 2: Convert to fraction form
    283,930/625,471 = 625,471/x
  3. Step 3: Cross multiply
    283,930x = 625,471 × 625,471
  4. Step 4: Simplify right side
    283,930x = 391,213,971,841
  5. Step 5: Solve for x
    x = 391,213,971,841/283,930
  6. Step 6: Final answer
    x = 1,377,853.60

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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.