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Finding the Third Proportional to 226,105.88 and 484,993.13

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Solution

The third proportional to 226,105.88 and 484,993.13 is: 1,040,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,105.88 : 484,993.13 = 484,993.13 : x
  2. Step 2: Convert to fraction form
    226,105.88/484,993.13 = 484,993.13/x
  3. Step 3: Cross multiply
    226,105.88x = 484,993.13 × 484,993.13
  4. Step 4: Simplify right side
    226,105.88x = 235,218,331,297.27
  5. Step 5: Solve for x
    x = 235,218,331,297.27/226,105.88
  6. Step 6: Final answer
    x = 1,040,301.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.