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Finding the Third Proportional to 203,968 and 441,828

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Solution

The third proportional to 203,968 and 441,828 is: 957,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968 : 441,828 = 441,828 : x
  2. Step 2: Convert to fraction form
    203,968/441,828 = 441,828/x
  3. Step 3: Cross multiply
    203,968x = 441,828 × 441,828
  4. Step 4: Simplify right side
    203,968x = 195,211,981,584
  5. Step 5: Solve for x
    x = 195,211,981,584/203,968
  6. Step 6: Final answer
    x = 957,071.61

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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.