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Finding the Third Proportional to 246,471.75 and 396,816.75

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Solution

The third proportional to 246,471.75 and 396,816.75 is: 638,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,471.75 : 396,816.75 = 396,816.75 : x
  2. Step 2: Convert to fraction form
    246,471.75/396,816.75 = 396,816.75/x
  3. Step 3: Cross multiply
    246,471.75x = 396,816.75 × 396,816.75
  4. Step 4: Simplify right side
    246,471.75x = 157,463,533,080.56
  5. Step 5: Solve for x
    x = 157,463,533,080.56/246,471.75
  6. Step 6: Final answer
    x = 638,870.51

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.