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Finding the Third Proportional to 227,128.50 and 491,874.75

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Solution

The third proportional to 227,128.50 and 491,874.75 is: 1,065,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,128.50 : 491,874.75 = 491,874.75 : x
  2. Step 2: Convert to fraction form
    227,128.50/491,874.75 = 491,874.75/x
  3. Step 3: Cross multiply
    227,128.50x = 491,874.75 × 491,874.75
  4. Step 4: Simplify right side
    227,128.50x = 241,940,769,687.56
  5. Step 5: Solve for x
    x = 241,940,769,687.56/227,128.50
  6. Step 6: Final answer
    x = 1,065,215.37

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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.