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Finding the Third Proportional to 311,832 and 660,471.75

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Solution

The third proportional to 311,832 and 660,471.75 is: 1,398,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,832 : 660,471.75 = 660,471.75 : x
  2. Step 2: Convert to fraction form
    311,832/660,471.75 = 660,471.75/x
  3. Step 3: Cross multiply
    311,832x = 660,471.75 × 660,471.75
  4. Step 4: Simplify right side
    311,832x = 436,222,932,548.06
  5. Step 5: Solve for x
    x = 436,222,932,548.06/311,832
  6. Step 6: Final answer
    x = 1,398,903.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.