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Finding the Third Proportional to 311.34 and 483.89

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Solution

The third proportional to 311.34 and 483.89 is: 752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 483.89 = 483.89 : x
  2. Step 2: Convert to fraction form
    311.34/483.89 = 483.89/x
  3. Step 3: Cross multiply
    311.34x = 483.89 × 483.89
  4. Step 4: Simplify right side
    311.34x = 234,150.14
  5. Step 5: Solve for x
    x = 234,150.14/311.34
  6. Step 6: Final answer
    x = 752.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.