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Finding the Third Proportional to 396,984 and 936,372

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Solution

The third proportional to 396,984 and 936,372 is: 2,208,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,984 : 936,372 = 936,372 : x
  2. Step 2: Convert to fraction form
    396,984/936,372 = 936,372/x
  3. Step 3: Cross multiply
    396,984x = 936,372 × 936,372
  4. Step 4: Simplify right side
    396,984x = 876,792,522,384
  5. Step 5: Solve for x
    x = 876,792,522,384/396,984
  6. Step 6: Final answer
    x = 2,208,634.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.