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Finding the Third Proportional to 327,999 and 720,576

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Solution

The third proportional to 327,999 and 720,576 is: 1,583,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,999 : 720,576 = 720,576 : x
  2. Step 2: Convert to fraction form
    327,999/720,576 = 720,576/x
  3. Step 3: Cross multiply
    327,999x = 720,576 × 720,576
  4. Step 4: Simplify right side
    327,999x = 519,229,771,776
  5. Step 5: Solve for x
    x = 519,229,771,776/327,999
  6. Step 6: Final answer
    x = 1,583,022.42

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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.