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Finding the Third Proportional to 384 and 576

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Solution

The third proportional to 384 and 576 is: 864

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 576 = 576 : x
  2. Step 2: Convert to fraction form
    384/576 = 576/x
  3. Step 3: Cross multiply
    384x = 576 × 576
  4. Step 4: Simplify right side
    384x = 331,776
  5. Step 5: Solve for x
    x = 331,776/384
  6. Step 6: Final answer
    x = 864

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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.