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Finding the Third Proportional to 184,745 and 397,978

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Solution

The third proportional to 184,745 and 397,978 is: 857,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,745 : 397,978 = 397,978 : x
  2. Step 2: Convert to fraction form
    184,745/397,978 = 397,978/x
  3. Step 3: Cross multiply
    184,745x = 397,978 × 397,978
  4. Step 4: Simplify right side
    184,745x = 158,386,488,484
  5. Step 5: Solve for x
    x = 158,386,488,484/184,745
  6. Step 6: Final answer
    x = 857,324.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.