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Finding the Third Proportional to 665.75 and 737.75

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Solution

The third proportional to 665.75 and 737.75 is: 817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.75 : 737.75 = 737.75 : x
  2. Step 2: Convert to fraction form
    665.75/737.75 = 737.75/x
  3. Step 3: Cross multiply
    665.75x = 737.75 × 737.75
  4. Step 4: Simplify right side
    665.75x = 544,275.06
  5. Step 5: Solve for x
    x = 544,275.06/665.75
  6. Step 6: Final answer
    x = 817.54

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.