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Finding the Third Proportional to 217,232.13 and 454,326.75

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Solution

The third proportional to 217,232.13 and 454,326.75 is: 950,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,232.13 : 454,326.75 = 454,326.75 : x
  2. Step 2: Convert to fraction form
    217,232.13/454,326.75 = 454,326.75/x
  3. Step 3: Cross multiply
    217,232.13x = 454,326.75 × 454,326.75
  4. Step 4: Simplify right side
    217,232.13x = 206,412,795,765.56
  5. Step 5: Solve for x
    x = 206,412,795,765.56/217,232.13
  6. Step 6: Final answer
    x = 950,194.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.