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Finding the Third Proportional to 568,771 and 859,204

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Solution

The third proportional to 568,771 and 859,204 is: 1,297,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,771 : 859,204 = 859,204 : x
  2. Step 2: Convert to fraction form
    568,771/859,204 = 859,204/x
  3. Step 3: Cross multiply
    568,771x = 859,204 × 859,204
  4. Step 4: Simplify right side
    568,771x = 738,231,513,616
  5. Step 5: Solve for x
    x = 738,231,513,616/568,771
  6. Step 6: Final answer
    x = 1,297,941.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.