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Finding the Third Proportional to 263,568 and 568,608

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Solution

The third proportional to 263,568 and 568,608 is: 1,226,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,568 : 568,608 = 568,608 : x
  2. Step 2: Convert to fraction form
    263,568/568,608 = 568,608/x
  3. Step 3: Cross multiply
    263,568x = 568,608 × 568,608
  4. Step 4: Simplify right side
    263,568x = 323,315,057,664
  5. Step 5: Solve for x
    x = 323,315,057,664/263,568
  6. Step 6: Final answer
    x = 1,226,685.55

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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.