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Finding the Third Proportional to 219,449 and 472,198

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Solution

The third proportional to 219,449 and 472,198 is: 1,016,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,449 : 472,198 = 472,198 : x
  2. Step 2: Convert to fraction form
    219,449/472,198 = 472,198/x
  3. Step 3: Cross multiply
    219,449x = 472,198 × 472,198
  4. Step 4: Simplify right side
    219,449x = 222,970,951,204
  5. Step 5: Solve for x
    x = 222,970,951,204/219,449
  6. Step 6: Final answer
    x = 1,016,049.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.