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Finding the Third Proportional to 204,814 and 445,577

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Solution

The third proportional to 204,814 and 445,577 is: 969,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,814 : 445,577 = 445,577 : x
  2. Step 2: Convert to fraction form
    204,814/445,577 = 445,577/x
  3. Step 3: Cross multiply
    204,814x = 445,577 × 445,577
  4. Step 4: Simplify right side
    204,814x = 198,538,862,929
  5. Step 5: Solve for x
    x = 198,538,862,929/204,814
  6. Step 6: Final answer
    x = 969,361.78

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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.