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Finding the Third Proportional to 394,945.88 and 595,896.75

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Solution

The third proportional to 394,945.88 and 595,896.75 is: 899,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,945.88 : 595,896.75 = 595,896.75 : x
  2. Step 2: Convert to fraction form
    394,945.88/595,896.75 = 595,896.75/x
  3. Step 3: Cross multiply
    394,945.88x = 595,896.75 × 595,896.75
  4. Step 4: Simplify right side
    394,945.88x = 355,092,936,660.56
  5. Step 5: Solve for x
    x = 355,092,936,660.56/394,945.88
  6. Step 6: Final answer
    x = 899,092.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.