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Finding the Third Proportional to 197,662 and 434,685

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Solution

The third proportional to 197,662 and 434,685 is: 955,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,662 : 434,685 = 434,685 : x
  2. Step 2: Convert to fraction form
    197,662/434,685 = 434,685/x
  3. Step 3: Cross multiply
    197,662x = 434,685 × 434,685
  4. Step 4: Simplify right side
    197,662x = 188,951,049,225
  5. Step 5: Solve for x
    x = 188,951,049,225/197,662
  6. Step 6: Final answer
    x = 955,930.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.