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Finding the Third Proportional to 475,204 and 628,134

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Solution

The third proportional to 475,204 and 628,134 is: 830,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,204 : 628,134 = 628,134 : x
  2. Step 2: Convert to fraction form
    475,204/628,134 = 628,134/x
  3. Step 3: Cross multiply
    475,204x = 628,134 × 628,134
  4. Step 4: Simplify right side
    475,204x = 394,552,321,956
  5. Step 5: Solve for x
    x = 394,552,321,956/475,204
  6. Step 6: Final answer
    x = 830,279.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.