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Finding the Third Proportional to 220,654.13 and 476,300.25

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Solution

The third proportional to 220,654.13 and 476,300.25 is: 1,028,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,654.13 : 476,300.25 = 476,300.25 : x
  2. Step 2: Convert to fraction form
    220,654.13/476,300.25 = 476,300.25/x
  3. Step 3: Cross multiply
    220,654.13x = 476,300.25 × 476,300.25
  4. Step 4: Simplify right side
    220,654.13x = 226,861,928,150.06
  5. Step 5: Solve for x
    x = 226,861,928,150.06/220,654.13
  6. Step 6: Final answer
    x = 1,028,133.64

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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.