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Finding the Third Proportional to 327,264 and 480,132

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Solution

The third proportional to 327,264 and 480,132 is: 704,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,264 : 480,132 = 480,132 : x
  2. Step 2: Convert to fraction form
    327,264/480,132 = 480,132/x
  3. Step 3: Cross multiply
    327,264x = 480,132 × 480,132
  4. Step 4: Simplify right side
    327,264x = 230,526,737,424
  5. Step 5: Solve for x
    x = 230,526,737,424/327,264
  6. Step 6: Final answer
    x = 704,406.04

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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.