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Finding the Third Proportional to 396,614 and 773,302

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Solution

The third proportional to 396,614 and 773,302 is: 1,507,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,614 : 773,302 = 773,302 : x
  2. Step 2: Convert to fraction form
    396,614/773,302 = 773,302/x
  3. Step 3: Cross multiply
    396,614x = 773,302 × 773,302
  4. Step 4: Simplify right side
    396,614x = 597,995,983,204
  5. Step 5: Solve for x
    x = 597,995,983,204/396,614
  6. Step 6: Final answer
    x = 1,507,753.09

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.