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Finding the Third Proportional to 396,388 and 871,496

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Solution

The third proportional to 396,388 and 871,496 is: 1,916,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,388 : 871,496 = 871,496 : x
  2. Step 2: Convert to fraction form
    396,388/871,496 = 871,496/x
  3. Step 3: Cross multiply
    396,388x = 871,496 × 871,496
  4. Step 4: Simplify right side
    396,388x = 759,505,278,016
  5. Step 5: Solve for x
    x = 759,505,278,016/396,388
  6. Step 6: Final answer
    x = 1,916,065.26

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Why These Related Problems?

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