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Finding the Third Proportional to 733.27 and 1,591.84

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Solution

The third proportional to 733.27 and 1,591.84 is: 3,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.27 : 1,591.84 = 1,591.84 : x
  2. Step 2: Convert to fraction form
    733.27/1,591.84 = 1,591.84/x
  3. Step 3: Cross multiply
    733.27x = 1,591.84 × 1,591.84
  4. Step 4: Simplify right side
    733.27x = 2,533,954.09
  5. Step 5: Solve for x
    x = 2,533,954.09/733.27
  6. Step 6: Final answer
    x = 3,455.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.