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Finding the Third Proportional to 256,246.31 and 560,760.19

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Solution

The third proportional to 256,246.31 and 560,760.19 is: 1,227,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,246.31 : 560,760.19 = 560,760.19 : x
  2. Step 2: Convert to fraction form
    256,246.31/560,760.19 = 560,760.19/x
  3. Step 3: Cross multiply
    256,246.31x = 560,760.19 × 560,760.19
  4. Step 4: Simplify right side
    256,246.31x = 314,451,987,885.04
  5. Step 5: Solve for x
    x = 314,451,987,885.04/256,246.31
  6. Step 6: Final answer
    x = 1,227,147.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.