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Finding the Third Proportional to 215,652 and 467,956

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Solution

The third proportional to 215,652 and 467,956 is: 1,015,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,652 : 467,956 = 467,956 : x
  2. Step 2: Convert to fraction form
    215,652/467,956 = 467,956/x
  3. Step 3: Cross multiply
    215,652x = 467,956 × 467,956
  4. Step 4: Simplify right side
    215,652x = 218,982,817,936
  5. Step 5: Solve for x
    x = 218,982,817,936/215,652
  6. Step 6: Final answer
    x = 1,015,445.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.