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Finding the Third Proportional to 327,162 and 479,943

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Solution

The third proportional to 327,162 and 479,943 is: 704,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,162 : 479,943 = 479,943 : x
  2. Step 2: Convert to fraction form
    327,162/479,943 = 479,943/x
  3. Step 3: Cross multiply
    327,162x = 479,943 × 479,943
  4. Step 4: Simplify right side
    327,162x = 230,345,283,249
  5. Step 5: Solve for x
    x = 230,345,283,249/327,162
  6. Step 6: Final answer
    x = 704,071.02

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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.