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Finding the Third Proportional to 668.25 and 937.69

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Solution

The third proportional to 668.25 and 937.69 is: 1,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.25 : 937.69 = 937.69 : x
  2. Step 2: Convert to fraction form
    668.25/937.69 = 937.69/x
  3. Step 3: Cross multiply
    668.25x = 937.69 × 937.69
  4. Step 4: Simplify right side
    668.25x = 879,257.85
  5. Step 5: Solve for x
    x = 879,257.85/668.25
  6. Step 6: Final answer
    x = 1,315.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.