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Finding the Third Proportional to 766.69 and 1,102.22

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Solution

The third proportional to 766.69 and 1,102.22 is: 1,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.69 : 1,102.22 = 1,102.22 : x
  2. Step 2: Convert to fraction form
    766.69/1,102.22 = 1,102.22/x
  3. Step 3: Cross multiply
    766.69x = 1,102.22 × 1,102.22
  4. Step 4: Simplify right side
    766.69x = 1,214,886.17
  5. Step 5: Solve for x
    x = 1,214,886.17/766.69
  6. Step 6: Final answer
    x = 1,584.59

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Why These Related Problems?

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