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Finding the Third Proportional to 568,077.75 and 853,589.25

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Solution

The third proportional to 568,077.75 and 853,589.25 is: 1,282,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,077.75 : 853,589.25 = 853,589.25 : x
  2. Step 2: Convert to fraction form
    568,077.75/853,589.25 = 853,589.25/x
  3. Step 3: Cross multiply
    568,077.75x = 853,589.25 × 853,589.25
  4. Step 4: Simplify right side
    568,077.75x = 728,614,607,715.56
  5. Step 5: Solve for x
    x = 728,614,607,715.56/568,077.75
  6. Step 6: Final answer
    x = 1,282,596.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.