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Finding the Third Proportional to 225,663.47 and 461,701.90

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Solution

The third proportional to 225,663.47 and 461,701.90 is: 944,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,663.47 : 461,701.90 = 461,701.90 : x
  2. Step 2: Convert to fraction form
    225,663.47/461,701.90 = 461,701.90/x
  3. Step 3: Cross multiply
    225,663.47x = 461,701.90 × 461,701.90
  4. Step 4: Simplify right side
    225,663.47x = 213,168,643,020.79
  5. Step 5: Solve for x
    x = 213,168,643,020.79/225,663.47
  6. Step 6: Final answer
    x = 944,630.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.