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Finding the Third Proportional to 327,060 and 479,822

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Solution

The third proportional to 327,060 and 479,822 is: 703,935.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,060 : 479,822 = 479,822 : x
  2. Step 2: Convert to fraction form
    327,060/479,822 = 479,822/x
  3. Step 3: Cross multiply
    327,060x = 479,822 × 479,822
  4. Step 4: Simplify right side
    327,060x = 230,229,151,684
  5. Step 5: Solve for x
    x = 230,229,151,684/327,060
  6. Step 6: Final answer
    x = 703,935.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.