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Finding the Third Proportional to 591.05 and 1,288.41

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Solution

The third proportional to 591.05 and 1,288.41 is: 2,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.05 : 1,288.41 = 1,288.41 : x
  2. Step 2: Convert to fraction form
    591.05/1,288.41 = 1,288.41/x
  3. Step 3: Cross multiply
    591.05x = 1,288.41 × 1,288.41
  4. Step 4: Simplify right side
    591.05x = 1,659,990.67
  5. Step 5: Solve for x
    x = 1,659,990.67/591.05
  6. Step 6: Final answer
    x = 2,808.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.