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Finding the Third Proportional to 232,809.75 and 498,822.75

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Solution

The third proportional to 232,809.75 and 498,822.75 is: 1,068,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,809.75 : 498,822.75 = 498,822.75 : x
  2. Step 2: Convert to fraction form
    232,809.75/498,822.75 = 498,822.75/x
  3. Step 3: Cross multiply
    232,809.75x = 498,822.75 × 498,822.75
  4. Step 4: Simplify right side
    232,809.75x = 248,824,135,917.56
  5. Step 5: Solve for x
    x = 248,824,135,917.56/232,809.75
  6. Step 6: Final answer
    x = 1,068,787.44

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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.