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Finding the Third Proportional to 327,996 and 720,569

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Solution

The third proportional to 327,996 and 720,569 is: 1,583,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,996 : 720,569 = 720,569 : x
  2. Step 2: Convert to fraction form
    327,996/720,569 = 720,569/x
  3. Step 3: Cross multiply
    327,996x = 720,569 × 720,569
  4. Step 4: Simplify right side
    327,996x = 519,219,683,761
  5. Step 5: Solve for x
    x = 519,219,683,761/327,996
  6. Step 6: Final answer
    x = 1,583,006.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.