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Finding the Third Proportional to 327,167 and 479,950

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Solution

The third proportional to 327,167 and 479,950 is: 704,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,167 : 479,950 = 479,950 : x
  2. Step 2: Convert to fraction form
    327,167/479,950 = 479,950/x
  3. Step 3: Cross multiply
    327,167x = 479,950 × 479,950
  4. Step 4: Simplify right side
    327,167x = 230,352,002,500
  5. Step 5: Solve for x
    x = 230,352,002,500/327,167
  6. Step 6: Final answer
    x = 704,080.80

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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.