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Finding the Third Proportional to 576.75 and 861.19

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Solution

The third proportional to 576.75 and 861.19 is: 1,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.75 : 861.19 = 861.19 : x
  2. Step 2: Convert to fraction form
    576.75/861.19 = 861.19/x
  3. Step 3: Cross multiply
    576.75x = 861.19 × 861.19
  4. Step 4: Simplify right side
    576.75x = 741,643.91
  5. Step 5: Solve for x
    x = 741,643.91/576.75
  6. Step 6: Final answer
    x = 1,285.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.