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Finding the Third Proportional to 327,539 and 712,744

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Solution

The third proportional to 327,539 and 712,744 is: 1,550,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,539 : 712,744 = 712,744 : x
  2. Step 2: Convert to fraction form
    327,539/712,744 = 712,744/x
  3. Step 3: Cross multiply
    327,539x = 712,744 × 712,744
  4. Step 4: Simplify right side
    327,539x = 508,004,009,536
  5. Step 5: Solve for x
    x = 508,004,009,536/327,539
  6. Step 6: Final answer
    x = 1,550,972.59

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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.