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Finding the Third Proportional to 214,676 and 471,848

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Solution

The third proportional to 214,676 and 471,848 is: 1,037,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676 : 471,848 = 471,848 : x
  2. Step 2: Convert to fraction form
    214,676/471,848 = 471,848/x
  3. Step 3: Cross multiply
    214,676x = 471,848 × 471,848
  4. Step 4: Simplify right side
    214,676x = 222,640,535,104
  5. Step 5: Solve for x
    x = 222,640,535,104/214,676
  6. Step 6: Final answer
    x = 1,037,100.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.