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Finding the Third Proportional to 217,452 and 441,016

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Solution

The third proportional to 217,452 and 441,016 is: 894,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,452 : 441,016 = 441,016 : x
  2. Step 2: Convert to fraction form
    217,452/441,016 = 441,016/x
  3. Step 3: Cross multiply
    217,452x = 441,016 × 441,016
  4. Step 4: Simplify right side
    217,452x = 194,495,112,256
  5. Step 5: Solve for x
    x = 194,495,112,256/217,452
  6. Step 6: Final answer
    x = 894,427.79

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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.