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Finding the Third Proportional to 366,976 and 567,067

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Solution

The third proportional to 366,976 and 567,067 is: 876,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,976 : 567,067 = 567,067 : x
  2. Step 2: Convert to fraction form
    366,976/567,067 = 567,067/x
  3. Step 3: Cross multiply
    366,976x = 567,067 × 567,067
  4. Step 4: Simplify right side
    366,976x = 321,564,982,489
  5. Step 5: Solve for x
    x = 321,564,982,489/366,976
  6. Step 6: Final answer
    x = 876,256.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.