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Finding the Third Proportional to 214,758 and 471,996

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Solution

The third proportional to 214,758 and 471,996 is: 1,037,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,758 : 471,996 = 471,996 : x
  2. Step 2: Convert to fraction form
    214,758/471,996 = 471,996/x
  3. Step 3: Cross multiply
    214,758x = 471,996 × 471,996
  4. Step 4: Simplify right side
    214,758x = 222,780,224,016
  5. Step 5: Solve for x
    x = 222,780,224,016/214,758
  6. Step 6: Final answer
    x = 1,037,354.72

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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.