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Finding the Third Proportional to 197,944 and 466,800

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Solution

The third proportional to 197,944 and 466,800 is: 1,100,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,944 : 466,800 = 466,800 : x
  2. Step 2: Convert to fraction form
    197,944/466,800 = 466,800/x
  3. Step 3: Cross multiply
    197,944x = 466,800 × 466,800
  4. Step 4: Simplify right side
    197,944x = 217,902,240,000
  5. Step 5: Solve for x
    x = 217,902,240,000/197,944
  6. Step 6: Final answer
    x = 1,100,827.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.