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Finding the Third Proportional to 225,822.94 and 491,011.88

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Solution

The third proportional to 225,822.94 and 491,011.88 is: 1,067,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,822.94 : 491,011.88 = 491,011.88 : x
  2. Step 2: Convert to fraction form
    225,822.94/491,011.88 = 491,011.88/x
  3. Step 3: Cross multiply
    225,822.94x = 491,011.88 × 491,011.88
  4. Step 4: Simplify right side
    225,822.94x = 241,092,661,391.02
  5. Step 5: Solve for x
    x = 241,092,661,391.02/225,822.94
  6. Step 6: Final answer
    x = 1,067,618.13

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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.