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Finding the Third Proportional to 219,188.41 and 471,667.81

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Solution

The third proportional to 219,188.41 and 471,667.81 is: 1,014,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,188.41 : 471,667.81 = 471,667.81 : x
  2. Step 2: Convert to fraction form
    219,188.41/471,667.81 = 471,667.81/x
  3. Step 3: Cross multiply
    219,188.41x = 471,667.81 × 471,667.81
  4. Step 4: Simplify right side
    219,188.41x = 222,470,525,348.54
  5. Step 5: Solve for x
    x = 222,470,525,348.54/219,188.41
  6. Step 6: Final answer
    x = 1,014,973.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.