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Finding the Third Proportional to 327,238 and 480,079

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Solution

The third proportional to 327,238 and 480,079 is: 704,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,238 : 480,079 = 480,079 : x
  2. Step 2: Convert to fraction form
    327,238/480,079 = 480,079/x
  3. Step 3: Cross multiply
    327,238x = 480,079 × 480,079
  4. Step 4: Simplify right side
    327,238x = 230,475,846,241
  5. Step 5: Solve for x
    x = 230,475,846,241/327,238
  6. Step 6: Final answer
    x = 704,306.49

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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.