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Finding the Third Proportional to 227,826 and 344,493

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Solution

The third proportional to 227,826 and 344,493 is: 520,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,826 : 344,493 = 344,493 : x
  2. Step 2: Convert to fraction form
    227,826/344,493 = 344,493/x
  3. Step 3: Cross multiply
    227,826x = 344,493 × 344,493
  4. Step 4: Simplify right side
    227,826x = 118,675,427,049
  5. Step 5: Solve for x
    x = 118,675,427,049/227,826
  6. Step 6: Final answer
    x = 520,903.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.