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Finding the Third Proportional to 217,449 and 441,012

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Solution

The third proportional to 217,449 and 441,012 is: 894,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,449 : 441,012 = 441,012 : x
  2. Step 2: Convert to fraction form
    217,449/441,012 = 441,012/x
  3. Step 3: Cross multiply
    217,449x = 441,012 × 441,012
  4. Step 4: Simplify right side
    217,449x = 194,491,584,144
  5. Step 5: Solve for x
    x = 194,491,584,144/217,449
  6. Step 6: Final answer
    x = 894,423.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.