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Finding the Third Proportional to 589.50 and 884.44

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Solution

The third proportional to 589.50 and 884.44 is: 1,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 884.44 = 884.44 : x
  2. Step 2: Convert to fraction form
    589.50/884.44 = 884.44/x
  3. Step 3: Cross multiply
    589.50x = 884.44 × 884.44
  4. Step 4: Simplify right side
    589.50x = 782,229.69
  5. Step 5: Solve for x
    x = 782,229.69/589.50
  6. Step 6: Final answer
    x = 1,326.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.