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Finding the Third Proportional to 311.82 and 644.99

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Solution

The third proportional to 311.82 and 644.99 is: 1,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 644.99 = 644.99 : x
  2. Step 2: Convert to fraction form
    311.82/644.99 = 644.99/x
  3. Step 3: Cross multiply
    311.82x = 644.99 × 644.99
  4. Step 4: Simplify right side
    311.82x = 416,017.44
  5. Step 5: Solve for x
    x = 416,017.44/311.82
  6. Step 6: Final answer
    x = 1,334.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.