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Finding the Third Proportional to 396,029 and 567,507

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Solution

The third proportional to 396,029 and 567,507 is: 813,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,029 : 567,507 = 567,507 : x
  2. Step 2: Convert to fraction form
    396,029/567,507 = 567,507/x
  3. Step 3: Cross multiply
    396,029x = 567,507 × 567,507
  4. Step 4: Simplify right side
    396,029x = 322,064,195,049
  5. Step 5: Solve for x
    x = 322,064,195,049/396,029
  6. Step 6: Final answer
    x = 813,233.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.