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Finding the Third Proportional to 589.36 and 1,163.95

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Solution

The third proportional to 589.36 and 1,163.95 is: 2,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 1,163.95 = 1,163.95 : x
  2. Step 2: Convert to fraction form
    589.36/1,163.95 = 1,163.95/x
  3. Step 3: Cross multiply
    589.36x = 1,163.95 × 1,163.95
  4. Step 4: Simplify right side
    589.36x = 1,354,786.88
  5. Step 5: Solve for x
    x = 1,354,786.88/589.36
  6. Step 6: Final answer
    x = 2,298.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.