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Finding the Third Proportional to 396,317 and 613,794

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Solution

The third proportional to 396,317 and 613,794 is: 950,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,317 : 613,794 = 613,794 : x
  2. Step 2: Convert to fraction form
    396,317/613,794 = 613,794/x
  3. Step 3: Cross multiply
    396,317x = 613,794 × 613,794
  4. Step 4: Simplify right side
    396,317x = 376,743,074,436
  5. Step 5: Solve for x
    x = 376,743,074,436/396,317
  6. Step 6: Final answer
    x = 950,610.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.