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Finding the Third Proportional to 821,245.50 and 1,098,528.75

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Solution

The third proportional to 821,245.50 and 1,098,528.75 is: 1,469,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,245.50 : 1,098,528.75 = 1,098,528.75 : x
  2. Step 2: Convert to fraction form
    821,245.50/1,098,528.75 = 1,098,528.75/x
  3. Step 3: Cross multiply
    821,245.50x = 1,098,528.75 × 1,098,528.75
  4. Step 4: Simplify right side
    821,245.50x = 1,206,765,414,576.56
  5. Step 5: Solve for x
    x = 1,206,765,414,576.56/821,245.50
  6. Step 6: Final answer
    x = 1,469,433.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.