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Finding the Third Proportional to 394,989.75 and 595,974

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Solution

The third proportional to 394,989.75 and 595,974 is: 899,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,989.75 : 595,974 = 595,974 : x
  2. Step 2: Convert to fraction form
    394,989.75/595,974 = 595,974/x
  3. Step 3: Cross multiply
    394,989.75x = 595,974 × 595,974
  4. Step 4: Simplify right side
    394,989.75x = 355,185,008,676
  5. Step 5: Solve for x
    x = 355,185,008,676/394,989.75
  6. Step 6: Final answer
    x = 899,225.89

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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.