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Finding the Third Proportional to 568,791.57 and 800,045.46

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Solution

The third proportional to 568,791.57 and 800,045.46 is: 1,125,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,791.57 : 800,045.46 = 800,045.46 : x
  2. Step 2: Convert to fraction form
    568,791.57/800,045.46 = 800,045.46/x
  3. Step 3: Cross multiply
    568,791.57x = 800,045.46 × 800,045.46
  4. Step 4: Simplify right side
    568,791.57x = 640,072,744,254.40
  5. Step 5: Solve for x
    x = 640,072,744,254.40/568,791.57
  6. Step 6: Final answer
    x = 1,125,320.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.