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Finding the Third Proportional to 396,469 and 638,376

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Solution

The third proportional to 396,469 and 638,376 is: 1,027,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,469 : 638,376 = 638,376 : x
  2. Step 2: Convert to fraction form
    396,469/638,376 = 638,376/x
  3. Step 3: Cross multiply
    396,469x = 638,376 × 638,376
  4. Step 4: Simplify right side
    396,469x = 407,523,917,376
  5. Step 5: Solve for x
    x = 407,523,917,376/396,469
  6. Step 6: Final answer
    x = 1,027,883.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.