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Finding the Third Proportional to 666.75 and 1,465.69

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Solution

The third proportional to 666.75 and 1,465.69 is: 3,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.75 : 1,465.69 = 1,465.69 : x
  2. Step 2: Convert to fraction form
    666.75/1,465.69 = 1,465.69/x
  3. Step 3: Cross multiply
    666.75x = 1,465.69 × 1,465.69
  4. Step 4: Simplify right side
    666.75x = 2,148,239.85
  5. Step 5: Solve for x
    x = 2,148,239.85/666.75
  6. Step 6: Final answer
    x = 3,221.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.