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Finding the Third Proportional to 396,384 and 871,488

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Solution

The third proportional to 396,384 and 871,488 is: 1,916,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,384 : 871,488 = 871,488 : x
  2. Step 2: Convert to fraction form
    396,384/871,488 = 871,488/x
  3. Step 3: Cross multiply
    396,384x = 871,488 × 871,488
  4. Step 4: Simplify right side
    396,384x = 759,491,334,144
  5. Step 5: Solve for x
    x = 759,491,334,144/396,384
  6. Step 6: Final answer
    x = 1,916,049.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.