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Finding the Third Proportional to 396,788 and 567,181

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Solution

The third proportional to 396,788 and 567,181 is: 810,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,788 : 567,181 = 567,181 : x
  2. Step 2: Convert to fraction form
    396,788/567,181 = 567,181/x
  3. Step 3: Cross multiply
    396,788x = 567,181 × 567,181
  4. Step 4: Simplify right side
    396,788x = 321,694,286,761
  5. Step 5: Solve for x
    x = 321,694,286,761/396,788
  6. Step 6: Final answer
    x = 810,746.01

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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.