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Finding the Third Proportional to 268,305.75 and 568,593

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Solution

The third proportional to 268,305.75 and 568,593 is: 1,204,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,305.75 : 568,593 = 568,593 : x
  2. Step 2: Convert to fraction form
    268,305.75/568,593 = 568,593/x
  3. Step 3: Cross multiply
    268,305.75x = 568,593 × 568,593
  4. Step 4: Simplify right side
    268,305.75x = 323,297,999,649
  5. Step 5: Solve for x
    x = 323,297,999,649/268,305.75
  6. Step 6: Final answer
    x = 1,204,961.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.