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Finding the Third Proportional to 576.49 and 865.27

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Solution

The third proportional to 576.49 and 865.27 is: 1,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.49 : 865.27 = 865.27 : x
  2. Step 2: Convert to fraction form
    576.49/865.27 = 865.27/x
  3. Step 3: Cross multiply
    576.49x = 865.27 × 865.27
  4. Step 4: Simplify right side
    576.49x = 748,684.60
  5. Step 5: Solve for x
    x = 748,684.60/576.49
  6. Step 6: Final answer
    x = 1,298.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.