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Finding the Third Proportional to 196,923 and 474,766

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Solution

The third proportional to 196,923 and 474,766 is: 1,144,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,923 : 474,766 = 474,766 : x
  2. Step 2: Convert to fraction form
    196,923/474,766 = 474,766/x
  3. Step 3: Cross multiply
    196,923x = 474,766 × 474,766
  4. Step 4: Simplify right side
    196,923x = 225,402,754,756
  5. Step 5: Solve for x
    x = 225,402,754,756/196,923
  6. Step 6: Final answer
    x = 1,144,623.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.