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Finding the Third Proportional to 190,077 and 441,978

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Solution

The third proportional to 190,077 and 441,978 is: 1,027,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,077 : 441,978 = 441,978 : x
  2. Step 2: Convert to fraction form
    190,077/441,978 = 441,978/x
  3. Step 3: Cross multiply
    190,077x = 441,978 × 441,978
  4. Step 4: Simplify right side
    190,077x = 195,344,552,484
  5. Step 5: Solve for x
    x = 195,344,552,484/190,077
  6. Step 6: Final answer
    x = 1,027,712.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.