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Finding the Third Proportional to 301.78 and 635.99

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Solution

The third proportional to 301.78 and 635.99 is: 1,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 635.99 = 635.99 : x
  2. Step 2: Convert to fraction form
    301.78/635.99 = 635.99/x
  3. Step 3: Cross multiply
    301.78x = 635.99 × 635.99
  4. Step 4: Simplify right side
    301.78x = 404,488.55
  5. Step 5: Solve for x
    x = 404,488.55/301.78
  6. Step 6: Final answer
    x = 1,340.34

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.