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Finding the Third Proportional to 203,438 and 443,069

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Solution

The third proportional to 203,438 and 443,069 is: 964,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,438 : 443,069 = 443,069 : x
  2. Step 2: Convert to fraction form
    203,438/443,069 = 443,069/x
  3. Step 3: Cross multiply
    203,438x = 443,069 × 443,069
  4. Step 4: Simplify right side
    203,438x = 196,310,138,761
  5. Step 5: Solve for x
    x = 196,310,138,761/203,438
  6. Step 6: Final answer
    x = 964,962.98

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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.