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Finding the Third Proportional to 217,224.75 and 454,300.13

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Solution

The third proportional to 217,224.75 and 454,300.13 is: 950,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224.75 : 454,300.13 = 454,300.13 : x
  2. Step 2: Convert to fraction form
    217,224.75/454,300.13 = 454,300.13/x
  3. Step 3: Cross multiply
    217,224.75x = 454,300.13 × 454,300.13
  4. Step 4: Simplify right side
    217,224.75x = 206,388,603,575.02
  5. Step 5: Solve for x
    x = 206,388,603,575.02/217,224.75
  6. Step 6: Final answer
    x = 950,115.51

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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.