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Finding the Third Proportional to 217,450 and 441,020

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Solution

The third proportional to 217,450 and 441,020 is: 894,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,450 : 441,020 = 441,020 : x
  2. Step 2: Convert to fraction form
    217,450/441,020 = 441,020/x
  3. Step 3: Cross multiply
    217,450x = 441,020 × 441,020
  4. Step 4: Simplify right side
    217,450x = 194,498,640,400
  5. Step 5: Solve for x
    x = 194,498,640,400/217,450
  6. Step 6: Final answer
    x = 894,452.24

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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.