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Finding the Third Proportional to 203,966 and 441,824

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Solution

The third proportional to 203,966 and 441,824 is: 957,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,966 : 441,824 = 441,824 : x
  2. Step 2: Convert to fraction form
    203,966/441,824 = 441,824/x
  3. Step 3: Cross multiply
    203,966x = 441,824 × 441,824
  4. Step 4: Simplify right side
    203,966x = 195,208,446,976
  5. Step 5: Solve for x
    x = 195,208,446,976/203,966
  6. Step 6: Final answer
    x = 957,063.66

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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.