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Finding the Third Proportional to 263,256 and 568,542

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Solution

The third proportional to 263,256 and 568,542 is: 1,227,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,256 : 568,542 = 568,542 : x
  2. Step 2: Convert to fraction form
    263,256/568,542 = 568,542/x
  3. Step 3: Cross multiply
    263,256x = 568,542 × 568,542
  4. Step 4: Simplify right side
    263,256x = 323,240,005,764
  5. Step 5: Solve for x
    x = 323,240,005,764/263,256
  6. Step 6: Final answer
    x = 1,227,854.28

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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.