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Finding the Third Proportional to 203,622 and 443,388

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Solution

The third proportional to 203,622 and 443,388 is: 965,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,622 : 443,388 = 443,388 : x
  2. Step 2: Convert to fraction form
    203,622/443,388 = 443,388/x
  3. Step 3: Cross multiply
    203,622x = 443,388 × 443,388
  4. Step 4: Simplify right side
    203,622x = 196,592,918,544
  5. Step 5: Solve for x
    x = 196,592,918,544/203,622
  6. Step 6: Final answer
    x = 965,479.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.