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Finding the Third Proportional to 263,265.75 and 568,523.25

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Solution

The third proportional to 263,265.75 and 568,523.25 is: 1,227,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,265.75 : 568,523.25 = 568,523.25 : x
  2. Step 2: Convert to fraction form
    263,265.75/568,523.25 = 568,523.25/x
  3. Step 3: Cross multiply
    263,265.75x = 568,523.25 × 568,523.25
  4. Step 4: Simplify right side
    263,265.75x = 323,218,685,790.56
  5. Step 5: Solve for x
    x = 323,218,685,790.56/263,265.75
  6. Step 6: Final answer
    x = 1,227,727.82

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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.