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Finding the Third Proportional to 600.88 and 663.75

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Solution

The third proportional to 600.88 and 663.75 is: 733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.88 : 663.75 = 663.75 : x
  2. Step 2: Convert to fraction form
    600.88/663.75 = 663.75/x
  3. Step 3: Cross multiply
    600.88x = 663.75 × 663.75
  4. Step 4: Simplify right side
    600.88x = 440,564.06
  5. Step 5: Solve for x
    x = 440,564.06/600.88
  6. Step 6: Final answer
    x = 733.20

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.