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Finding the Third Proportional to 225,928 and 491,204

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Solution

The third proportional to 225,928 and 491,204 is: 1,067,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,928 : 491,204 = 491,204 : x
  2. Step 2: Convert to fraction form
    225,928/491,204 = 491,204/x
  3. Step 3: Cross multiply
    225,928x = 491,204 × 491,204
  4. Step 4: Simplify right side
    225,928x = 241,281,369,616
  5. Step 5: Solve for x
    x = 241,281,369,616/225,928
  6. Step 6: Final answer
    x = 1,067,956.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.