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Finding the Third Proportional to 299.25 and 636.75

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Solution

The third proportional to 299.25 and 636.75 is: 1,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 636.75 = 636.75 : x
  2. Step 2: Convert to fraction form
    299.25/636.75 = 636.75/x
  3. Step 3: Cross multiply
    299.25x = 636.75 × 636.75
  4. Step 4: Simplify right side
    299.25x = 405,450.56
  5. Step 5: Solve for x
    x = 405,450.56/299.25
  6. Step 6: Final answer
    x = 1,354.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.