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Finding the Third Proportional to 263,854.13 and 622,243.69

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Solution

The third proportional to 263,854.13 and 622,243.69 is: 1,467,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,854.13 : 622,243.69 = 622,243.69 : x
  2. Step 2: Convert to fraction form
    263,854.13/622,243.69 = 622,243.69/x
  3. Step 3: Cross multiply
    263,854.13x = 622,243.69 × 622,243.69
  4. Step 4: Simplify right side
    263,854.13x = 387,187,206,633.60
  5. Step 5: Solve for x
    x = 387,187,206,633.60/263,854.13
  6. Step 6: Final answer
    x = 1,467,429.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.