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Finding the Third Proportional to 384.38 and 576.56

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Solution

The third proportional to 384.38 and 576.56 is: 864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.38 : 576.56 = 576.56 : x
  2. Step 2: Convert to fraction form
    384.38/576.56 = 576.56/x
  3. Step 3: Cross multiply
    384.38x = 576.56 × 576.56
  4. Step 4: Simplify right side
    384.38x = 332,424.32
  5. Step 5: Solve for x
    x = 332,424.32/384.38
  6. Step 6: Final answer
    x = 864.84

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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.