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Finding the Third Proportional to 203,967 and 441,826

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Solution

The third proportional to 203,967 and 441,826 is: 957,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,967 : 441,826 = 441,826 : x
  2. Step 2: Convert to fraction form
    203,967/441,826 = 441,826/x
  3. Step 3: Cross multiply
    203,967x = 441,826 × 441,826
  4. Step 4: Simplify right side
    203,967x = 195,210,214,276
  5. Step 5: Solve for x
    x = 195,210,214,276/203,967
  6. Step 6: Final answer
    x = 957,067.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.