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Finding the Third Proportional to 192,579.19 and 429,414.75

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Solution

The third proportional to 192,579.19 and 429,414.75 is: 957,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,579.19 : 429,414.75 = 429,414.75 : x
  2. Step 2: Convert to fraction form
    192,579.19/429,414.75 = 429,414.75/x
  3. Step 3: Cross multiply
    192,579.19x = 429,414.75 × 429,414.75
  4. Step 4: Simplify right side
    192,579.19x = 184,397,027,517.56
  5. Step 5: Solve for x
    x = 184,397,027,517.56/192,579.19
  6. Step 6: Final answer
    x = 957,512.75

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.