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Finding the Third Proportional to 218,960 and 471,692

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Solution

The third proportional to 218,960 and 471,692 is: 1,016,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960 : 471,692 = 471,692 : x
  2. Step 2: Convert to fraction form
    218,960/471,692 = 471,692/x
  3. Step 3: Cross multiply
    218,960x = 471,692 × 471,692
  4. Step 4: Simplify right side
    218,960x = 222,493,342,864
  5. Step 5: Solve for x
    x = 222,493,342,864/218,960
  6. Step 6: Final answer
    x = 1,016,136.93

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Why These Related Problems?

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