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Finding the Third Proportional to 263,636 and 568,744

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Solution

The third proportional to 263,636 and 568,744 is: 1,226,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,636 : 568,744 = 568,744 : x
  2. Step 2: Convert to fraction form
    263,636/568,744 = 568,744/x
  3. Step 3: Cross multiply
    263,636x = 568,744 × 568,744
  4. Step 4: Simplify right side
    263,636x = 323,469,737,536
  5. Step 5: Solve for x
    x = 323,469,737,536/263,636
  6. Step 6: Final answer
    x = 1,226,955.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.