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Finding the Third Proportional to 199,503 and 443,292.75

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Solution

The third proportional to 199,503 and 443,292.75 is: 984,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,503 : 443,292.75 = 443,292.75 : x
  2. Step 2: Convert to fraction form
    199,503/443,292.75 = 443,292.75/x
  3. Step 3: Cross multiply
    199,503x = 443,292.75 × 443,292.75
  4. Step 4: Simplify right side
    199,503x = 196,508,462,202.56
  5. Step 5: Solve for x
    x = 196,508,462,202.56/199,503
  6. Step 6: Final answer
    x = 984,990.01

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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.