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Finding the Third Proportional to 203,962 and 441,818

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Solution

The third proportional to 203,962 and 441,818 is: 957,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,962 : 441,818 = 441,818 : x
  2. Step 2: Convert to fraction form
    203,962/441,818 = 441,818/x
  3. Step 3: Cross multiply
    203,962x = 441,818 × 441,818
  4. Step 4: Simplify right side
    203,962x = 195,203,145,124
  5. Step 5: Solve for x
    x = 195,203,145,124/203,962
  6. Step 6: Final answer
    x = 957,056.44

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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.