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Finding the Third Proportional to 396,295 and 613,882

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Solution

The third proportional to 396,295 and 613,882 is: 950,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,295 : 613,882 = 613,882 : x
  2. Step 2: Convert to fraction form
    396,295/613,882 = 613,882/x
  3. Step 3: Cross multiply
    396,295x = 613,882 × 613,882
  4. Step 4: Simplify right side
    396,295x = 376,851,109,924
  5. Step 5: Solve for x
    x = 376,851,109,924/396,295
  6. Step 6: Final answer
    x = 950,935.82

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