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Finding the Third Proportional to 215,970.75 and 471,246.75

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Solution

The third proportional to 215,970.75 and 471,246.75 is: 1,028,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,970.75 : 471,246.75 = 471,246.75 : x
  2. Step 2: Convert to fraction form
    215,970.75/471,246.75 = 471,246.75/x
  3. Step 3: Cross multiply
    215,970.75x = 471,246.75 × 471,246.75
  4. Step 4: Simplify right side
    215,970.75x = 222,073,499,385.56
  5. Step 5: Solve for x
    x = 222,073,499,385.56/215,970.75
  6. Step 6: Final answer
    x = 1,028,257.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.