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Finding the Third Proportional to 203,069 and 443,722

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Solution

The third proportional to 203,069 and 443,722 is: 969,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,069 : 443,722 = 443,722 : x
  2. Step 2: Convert to fraction form
    203,069/443,722 = 443,722/x
  3. Step 3: Cross multiply
    203,069x = 443,722 × 443,722
  4. Step 4: Simplify right side
    203,069x = 196,889,213,284
  5. Step 5: Solve for x
    x = 196,889,213,284/203,069
  6. Step 6: Final answer
    x = 969,568.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.