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Finding the Third Proportional to 217,236.38 and 454,335.75

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Solution

The third proportional to 217,236.38 and 454,335.75 is: 950,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,236.38 : 454,335.75 = 454,335.75 : x
  2. Step 2: Convert to fraction form
    217,236.38/454,335.75 = 454,335.75/x
  3. Step 3: Cross multiply
    217,236.38x = 454,335.75 × 454,335.75
  4. Step 4: Simplify right side
    217,236.38x = 206,420,973,728.06
  5. Step 5: Solve for x
    x = 206,420,973,728.06/217,236.38
  6. Step 6: Final answer
    x = 950,213.67

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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.