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Finding the Third Proportional to 203,978 and 441,850

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Solution

The third proportional to 203,978 and 441,850 is: 957,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,978 : 441,850 = 441,850 : x
  2. Step 2: Convert to fraction form
    203,978/441,850 = 441,850/x
  3. Step 3: Cross multiply
    203,978x = 441,850 × 441,850
  4. Step 4: Simplify right side
    203,978x = 195,231,422,500
  5. Step 5: Solve for x
    x = 195,231,422,500/203,978
  6. Step 6: Final answer
    x = 957,120.00

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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.