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Finding the Third Proportional to 220,667.63 and 476,323.88

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Solution

The third proportional to 220,667.63 and 476,323.88 is: 1,028,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,667.63 : 476,323.88 = 476,323.88 : x
  2. Step 2: Convert to fraction form
    220,667.63/476,323.88 = 476,323.88/x
  3. Step 3: Cross multiply
    220,667.63x = 476,323.88 × 476,323.88
  4. Step 4: Simplify right side
    220,667.63x = 226,884,433,895.02
  5. Step 5: Solve for x
    x = 226,884,433,895.02/220,667.63
  6. Step 6: Final answer
    x = 1,028,172.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.