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Finding the Third Proportional to 999 and 2,198.50

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Solution

The third proportional to 999 and 2,198.50 is: 4,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    999 : 2,198.50 = 2,198.50 : x
  2. Step 2: Convert to fraction form
    999/2,198.50 = 2,198.50/x
  3. Step 3: Cross multiply
    999x = 2,198.50 × 2,198.50
  4. Step 4: Simplify right side
    999x = 4,833,402.25
  5. Step 5: Solve for x
    x = 4,833,402.25/999
  6. Step 6: Final answer
    x = 4,838.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.