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Finding the Third Proportional to 265.69 and 576.94

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Solution

The third proportional to 265.69 and 576.94 is: 1,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.69 : 576.94 = 576.94 : x
  2. Step 2: Convert to fraction form
    265.69/576.94 = 576.94/x
  3. Step 3: Cross multiply
    265.69x = 576.94 × 576.94
  4. Step 4: Simplify right side
    265.69x = 332,856.88
  5. Step 5: Solve for x
    x = 332,856.88/265.69
  6. Step 6: Final answer
    x = 1,252.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.