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Finding the Third Proportional to 385.13 and 576.19

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Solution

The third proportional to 385.13 and 576.19 is: 862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.13 : 576.19 = 576.19 : x
  2. Step 2: Convert to fraction form
    385.13/576.19 = 576.19/x
  3. Step 3: Cross multiply
    385.13x = 576.19 × 576.19
  4. Step 4: Simplify right side
    385.13x = 331,992.04
  5. Step 5: Solve for x
    x = 331,992.04/385.13
  6. Step 6: Final answer
    x = 862.04

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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.