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Finding the Third Proportional to 775.69 and 1,104.75

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Solution

The third proportional to 775.69 and 1,104.75 is: 1,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.69 : 1,104.75 = 1,104.75 : x
  2. Step 2: Convert to fraction form
    775.69/1,104.75 = 1,104.75/x
  3. Step 3: Cross multiply
    775.69x = 1,104.75 × 1,104.75
  4. Step 4: Simplify right side
    775.69x = 1,220,472.56
  5. Step 5: Solve for x
    x = 1,220,472.56/775.69
  6. Step 6: Final answer
    x = 1,573.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.