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Finding the Third Proportional to 630.75 and 908.38

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Solution

The third proportional to 630.75 and 908.38 is: 1,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.75 : 908.38 = 908.38 : x
  2. Step 2: Convert to fraction form
    630.75/908.38 = 908.38/x
  3. Step 3: Cross multiply
    630.75x = 908.38 × 908.38
  4. Step 4: Simplify right side
    630.75x = 825,145.14
  5. Step 5: Solve for x
    x = 825,145.14/630.75
  6. Step 6: Final answer
    x = 1,308.20

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.