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Finding the Third Proportional to 384.75 and 576.97

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Solution

The third proportional to 384.75 and 576.97 is: 865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 576.97 = 576.97 : x
  2. Step 2: Convert to fraction form
    384.75/576.97 = 576.97/x
  3. Step 3: Cross multiply
    384.75x = 576.97 × 576.97
  4. Step 4: Simplify right side
    384.75x = 332,892.94
  5. Step 5: Solve for x
    x = 332,892.94/384.75
  6. Step 6: Final answer
    x = 865.22

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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.