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Finding the Third Proportional to 226,594.97 and 476,517.94

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Solution

The third proportional to 226,594.97 and 476,517.94 is: 1,002,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,594.97 : 476,517.94 = 476,517.94 : x
  2. Step 2: Convert to fraction form
    226,594.97/476,517.94 = 476,517.94/x
  3. Step 3: Cross multiply
    226,594.97x = 476,517.94 × 476,517.94
  4. Step 4: Simplify right side
    226,594.97x = 227,069,344,759.25
  5. Step 5: Solve for x
    x = 227,069,344,759.25/226,594.97
  6. Step 6: Final answer
    x = 1,002,093.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.