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Finding the Third Proportional to 311.03 and 440.91

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Solution

The third proportional to 311.03 and 440.91 is: 625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.03 : 440.91 = 440.91 : x
  2. Step 2: Convert to fraction form
    311.03/440.91 = 440.91/x
  3. Step 3: Cross multiply
    311.03x = 440.91 × 440.91
  4. Step 4: Simplify right side
    311.03x = 194,403.49
  5. Step 5: Solve for x
    x = 194,403.49/311.03
  6. Step 6: Final answer
    x = 625.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.