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Finding the Third Proportional to 225,932 and 491,212

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Solution

The third proportional to 225,932 and 491,212 is: 1,067,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,932 : 491,212 = 491,212 : x
  2. Step 2: Convert to fraction form
    225,932/491,212 = 491,212/x
  3. Step 3: Cross multiply
    225,932x = 491,212 × 491,212
  4. Step 4: Simplify right side
    225,932x = 241,289,228,944
  5. Step 5: Solve for x
    x = 241,289,228,944/225,932
  6. Step 6: Final answer
    x = 1,067,972.79

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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.