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Finding the Third Proportional to 239,704.31 and 524,512.13

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Solution

The third proportional to 239,704.31 and 524,512.13 is: 1,147,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,704.31 : 524,512.13 = 524,512.13 : x
  2. Step 2: Convert to fraction form
    239,704.31/524,512.13 = 524,512.13/x
  3. Step 3: Cross multiply
    239,704.31x = 524,512.13 × 524,512.13
  4. Step 4: Simplify right side
    239,704.31x = 275,112,969,272.02
  5. Step 5: Solve for x
    x = 275,112,969,272.02/239,704.31
  6. Step 6: Final answer
    x = 1,147,718.06

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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.