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Finding the Third Proportional to 329,728 and 447,872

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Solution

The third proportional to 329,728 and 447,872 is: 608,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,728 : 447,872 = 447,872 : x
  2. Step 2: Convert to fraction form
    329,728/447,872 = 447,872/x
  3. Step 3: Cross multiply
    329,728x = 447,872 × 447,872
  4. Step 4: Simplify right side
    329,728x = 200,589,328,384
  5. Step 5: Solve for x
    x = 200,589,328,384/329,728
  6. Step 6: Final answer
    x = 608,347.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.