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Finding the Third Proportional to 222,204 and 479,328

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Solution

The third proportional to 222,204 and 479,328 is: 1,033,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,204 : 479,328 = 479,328 : x
  2. Step 2: Convert to fraction form
    222,204/479,328 = 479,328/x
  3. Step 3: Cross multiply
    222,204x = 479,328 × 479,328
  4. Step 4: Simplify right side
    222,204x = 229,755,331,584
  5. Step 5: Solve for x
    x = 229,755,331,584/222,204
  6. Step 6: Final answer
    x = 1,033,983.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.