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Finding the Third Proportional to 845.44 and 1,163.74

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Solution

The third proportional to 845.44 and 1,163.74 is: 1,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.44 : 1,163.74 = 1,163.74 : x
  2. Step 2: Convert to fraction form
    845.44/1,163.74 = 1,163.74/x
  3. Step 3: Cross multiply
    845.44x = 1,163.74 × 1,163.74
  4. Step 4: Simplify right side
    845.44x = 1,354,295.88
  5. Step 5: Solve for x
    x = 1,354,295.88/845.44
  6. Step 6: Final answer
    x = 1,601.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.