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Finding the Third Proportional to 225,892 and 491,132

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Solution

The third proportional to 225,892 and 491,132 is: 1,067,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,892 : 491,132 = 491,132 : x
  2. Step 2: Convert to fraction form
    225,892/491,132 = 491,132/x
  3. Step 3: Cross multiply
    225,892x = 491,132 × 491,132
  4. Step 4: Simplify right side
    225,892x = 241,210,641,424
  5. Step 5: Solve for x
    x = 241,210,641,424/225,892
  6. Step 6: Final answer
    x = 1,067,814.01

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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.