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Finding the Third Proportional to 203,964 and 448,266

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Solution

The third proportional to 203,964 and 448,266 is: 985,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,964 : 448,266 = 448,266 : x
  2. Step 2: Convert to fraction form
    203,964/448,266 = 448,266/x
  3. Step 3: Cross multiply
    203,964x = 448,266 × 448,266
  4. Step 4: Simplify right side
    203,964x = 200,942,406,756
  5. Step 5: Solve for x
    x = 200,942,406,756/203,964
  6. Step 6: Final answer
    x = 985,185.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.