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Finding the Third Proportional to 999.50 and 2,221.75

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Solution

The third proportional to 999.50 and 2,221.75 is: 4,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.50 : 2,221.75 = 2,221.75 : x
  2. Step 2: Convert to fraction form
    999.50/2,221.75 = 2,221.75/x
  3. Step 3: Cross multiply
    999.50x = 2,221.75 × 2,221.75
  4. Step 4: Simplify right side
    999.50x = 4,936,173.06
  5. Step 5: Solve for x
    x = 4,936,173.06/999.50
  6. Step 6: Final answer
    x = 4,938.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.