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Finding the Third Proportional to 327,751.31 and 715,078.13

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Solution

The third proportional to 327,751.31 and 715,078.13 is: 1,560,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,751.31 : 715,078.13 = 715,078.13 : x
  2. Step 2: Convert to fraction form
    327,751.31/715,078.13 = 715,078.13/x
  3. Step 3: Cross multiply
    327,751.31x = 715,078.13 × 715,078.13
  4. Step 4: Simplify right side
    327,751.31x = 511,336,724,853.52
  5. Step 5: Solve for x
    x = 511,336,724,853.52/327,751.31
  6. Step 6: Final answer
    x = 1,560,136.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.