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Finding the Third Proportional to 774 and 1,189.41

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Solution

The third proportional to 774 and 1,189.41 is: 1,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774 : 1,189.41 = 1,189.41 : x
  2. Step 2: Convert to fraction form
    774/1,189.41 = 1,189.41/x
  3. Step 3: Cross multiply
    774x = 1,189.41 × 1,189.41
  4. Step 4: Simplify right side
    774x = 1,414,687.23
  5. Step 5: Solve for x
    x = 1,414,687.23/774
  6. Step 6: Final answer
    x = 1,827.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.