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Finding the Third Proportional to 225,825 and 491,016

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Solution

The third proportional to 225,825 and 491,016 is: 1,067,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,825 : 491,016 = 491,016 : x
  2. Step 2: Convert to fraction form
    225,825/491,016 = 491,016/x
  3. Step 3: Cross multiply
    225,825x = 491,016 × 491,016
  4. Step 4: Simplify right side
    225,825x = 241,096,712,256
  5. Step 5: Solve for x
    x = 241,096,712,256/225,825
  6. Step 6: Final answer
    x = 1,067,626.31

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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.