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Finding the Third Proportional to 327,388.13 and 723,605.25

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Solution

The third proportional to 327,388.13 and 723,605.25 is: 1,599,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,388.13 : 723,605.25 = 723,605.25 : x
  2. Step 2: Convert to fraction form
    327,388.13/723,605.25 = 723,605.25/x
  3. Step 3: Cross multiply
    327,388.13x = 723,605.25 × 723,605.25
  4. Step 4: Simplify right side
    327,388.13x = 523,604,557,827.56
  5. Step 5: Solve for x
    x = 523,604,557,827.56/327,388.13
  6. Step 6: Final answer
    x = 1,599,338.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.