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Finding the Third Proportional to 363,538.13 and 800,340.75

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Solution

The third proportional to 363,538.13 and 800,340.75 is: 1,761,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,538.13 : 800,340.75 = 800,340.75 : x
  2. Step 2: Convert to fraction form
    363,538.13/800,340.75 = 800,340.75/x
  3. Step 3: Cross multiply
    363,538.13x = 800,340.75 × 800,340.75
  4. Step 4: Simplify right side
    363,538.13x = 640,545,316,110.56
  5. Step 5: Solve for x
    x = 640,545,316,110.56/363,538.13
  6. Step 6: Final answer
    x = 1,761,975.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.