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Finding the Third Proportional to 327,442.82 and 715,757.13

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Solution

The third proportional to 327,442.82 and 715,757.13 is: 1,564,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,442.82 : 715,757.13 = 715,757.13 : x
  2. Step 2: Convert to fraction form
    327,442.82/715,757.13 = 715,757.13/x
  3. Step 3: Cross multiply
    327,442.82x = 715,757.13 × 715,757.13
  4. Step 4: Simplify right side
    327,442.82x = 512,308,273,171.97
  5. Step 5: Solve for x
    x = 512,308,273,171.97/327,442.82
  6. Step 6: Final answer
    x = 1,564,573.26

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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.