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Finding the Third Proportional to 197,982 and 426,600

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Solution

The third proportional to 197,982 and 426,600 is: 919,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,982 : 426,600 = 426,600 : x
  2. Step 2: Convert to fraction form
    197,982/426,600 = 426,600/x
  3. Step 3: Cross multiply
    197,982x = 426,600 × 426,600
  4. Step 4: Simplify right side
    197,982x = 181,987,560,000
  5. Step 5: Solve for x
    x = 181,987,560,000/197,982
  6. Step 6: Final answer
    x = 919,212.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.