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Finding the Third Proportional to 232,896.94 and 498,993.75

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Solution

The third proportional to 232,896.94 and 498,993.75 is: 1,069,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,896.94 : 498,993.75 = 498,993.75 : x
  2. Step 2: Convert to fraction form
    232,896.94/498,993.75 = 498,993.75/x
  3. Step 3: Cross multiply
    232,896.94x = 498,993.75 × 498,993.75
  4. Step 4: Simplify right side
    232,896.94x = 248,994,762,539.06
  5. Step 5: Solve for x
    x = 248,994,762,539.06/232,896.94
  6. Step 6: Final answer
    x = 1,069,119.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.