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Finding the Third Proportional to 225,397.13 and 475,944.75

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Solution

The third proportional to 225,397.13 and 475,944.75 is: 1,004,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,397.13 : 475,944.75 = 475,944.75 : x
  2. Step 2: Convert to fraction form
    225,397.13/475,944.75 = 475,944.75/x
  3. Step 3: Cross multiply
    225,397.13x = 475,944.75 × 475,944.75
  4. Step 4: Simplify right side
    225,397.13x = 226,523,405,052.56
  5. Step 5: Solve for x
    x = 226,523,405,052.56/225,397.13
  6. Step 6: Final answer
    x = 1,004,996.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.