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Finding the Third Proportional to 311.44 and 516.84

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Solution

The third proportional to 311.44 and 516.84 is: 857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 516.84 = 516.84 : x
  2. Step 2: Convert to fraction form
    311.44/516.84 = 516.84/x
  3. Step 3: Cross multiply
    311.44x = 516.84 × 516.84
  4. Step 4: Simplify right side
    311.44x = 267,127.46
  5. Step 5: Solve for x
    x = 267,127.46/311.44
  6. Step 6: Final answer
    x = 857.72

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.