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Finding the Third Proportional to 396,784 and 567,175

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Solution

The third proportional to 396,784 and 567,175 is: 810,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,784 : 567,175 = 567,175 : x
  2. Step 2: Convert to fraction form
    396,784/567,175 = 567,175/x
  3. Step 3: Cross multiply
    396,784x = 567,175 × 567,175
  4. Step 4: Simplify right side
    396,784x = 321,687,480,625
  5. Step 5: Solve for x
    x = 321,687,480,625/396,784
  6. Step 6: Final answer
    x = 810,737.03

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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.