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Finding the Third Proportional to 396,024 and 567,502

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Solution

The third proportional to 396,024 and 567,502 is: 813,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,024 : 567,502 = 567,502 : x
  2. Step 2: Convert to fraction form
    396,024/567,502 = 567,502/x
  3. Step 3: Cross multiply
    396,024x = 567,502 × 567,502
  4. Step 4: Simplify right side
    396,024x = 322,058,520,004
  5. Step 5: Solve for x
    x = 322,058,520,004/396,024
  6. Step 6: Final answer
    x = 813,229.80

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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.