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Finding the Third Proportional to 568,794 and 800,049

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Solution

The third proportional to 568,794 and 800,049 is: 1,125,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,794 : 800,049 = 800,049 : x
  2. Step 2: Convert to fraction form
    568,794/800,049 = 800,049/x
  3. Step 3: Cross multiply
    568,794x = 800,049 × 800,049
  4. Step 4: Simplify right side
    568,794x = 640,078,402,401
  5. Step 5: Solve for x
    x = 640,078,402,401/568,794
  6. Step 6: Final answer
    x = 1,125,325.52

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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.