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Finding the Third Proportional to 217,978 and 467,060

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Solution

The third proportional to 217,978 and 467,060 is: 1,000,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,978 : 467,060 = 467,060 : x
  2. Step 2: Convert to fraction form
    217,978/467,060 = 467,060/x
  3. Step 3: Cross multiply
    217,978x = 467,060 × 467,060
  4. Step 4: Simplify right side
    217,978x = 218,145,043,600
  5. Step 5: Solve for x
    x = 218,145,043,600/217,978
  6. Step 6: Final answer
    x = 1,000,766.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.