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Finding the Third Proportional to 396,802 and 567,204

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Solution

The third proportional to 396,802 and 567,204 is: 810,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,802 : 567,204 = 567,204 : x
  2. Step 2: Convert to fraction form
    396,802/567,204 = 567,204/x
  3. Step 3: Cross multiply
    396,802x = 567,204 × 567,204
  4. Step 4: Simplify right side
    396,802x = 321,720,377,616
  5. Step 5: Solve for x
    x = 321,720,377,616/396,802
  6. Step 6: Final answer
    x = 810,783.16

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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.