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Finding the Third Proportional to 204,872 and 443,439

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Solution

The third proportional to 204,872 and 443,439 is: 959,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,872 : 443,439 = 443,439 : x
  2. Step 2: Convert to fraction form
    204,872/443,439 = 443,439/x
  3. Step 3: Cross multiply
    204,872x = 443,439 × 443,439
  4. Step 4: Simplify right side
    204,872x = 196,638,146,721
  5. Step 5: Solve for x
    x = 196,638,146,721/204,872
  6. Step 6: Final answer
    x = 959,809.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.