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Finding the Third Proportional to 192,407.63 and 412,836.75

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Solution

The third proportional to 192,407.63 and 412,836.75 is: 885,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,407.63 : 412,836.75 = 412,836.75 : x
  2. Step 2: Convert to fraction form
    192,407.63/412,836.75 = 412,836.75/x
  3. Step 3: Cross multiply
    192,407.63x = 412,836.75 × 412,836.75
  4. Step 4: Simplify right side
    192,407.63x = 170,434,182,150.56
  5. Step 5: Solve for x
    x = 170,434,182,150.56/192,407.63
  6. Step 6: Final answer
    x = 885,797.44

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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.