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Finding the Third Proportional to 189,684 and 396,903

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Solution

The third proportional to 189,684 and 396,903 is: 830,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,684 : 396,903 = 396,903 : x
  2. Step 2: Convert to fraction form
    189,684/396,903 = 396,903/x
  3. Step 3: Cross multiply
    189,684x = 396,903 × 396,903
  4. Step 4: Simplify right side
    189,684x = 157,531,991,409
  5. Step 5: Solve for x
    x = 157,531,991,409/189,684
  6. Step 6: Final answer
    x = 830,496.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.