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Finding the Third Proportional to 331.50 and 589.88

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Solution

The third proportional to 331.50 and 589.88 is: 1,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.50 : 589.88 = 589.88 : x
  2. Step 2: Convert to fraction form
    331.50/589.88 = 589.88/x
  3. Step 3: Cross multiply
    331.50x = 589.88 × 589.88
  4. Step 4: Simplify right side
    331.50x = 347,952.52
  5. Step 5: Solve for x
    x = 347,952.52/331.50
  6. Step 6: Final answer
    x = 1,049.63

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.