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Finding the Third Proportional to 203,976 and 441,840

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Solution

The third proportional to 203,976 and 441,840 is: 957,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,976 : 441,840 = 441,840 : x
  2. Step 2: Convert to fraction form
    203,976/441,840 = 441,840/x
  3. Step 3: Cross multiply
    203,976x = 441,840 × 441,840
  4. Step 4: Simplify right side
    203,976x = 195,222,585,600
  5. Step 5: Solve for x
    x = 195,222,585,600/203,976
  6. Step 6: Final answer
    x = 957,086.06

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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.