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Finding the Third Proportional to 381,277.13 and 821,633.63

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Solution

The third proportional to 381,277.13 and 821,633.63 is: 1,770,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,277.13 : 821,633.63 = 821,633.63 : x
  2. Step 2: Convert to fraction form
    381,277.13/821,633.63 = 821,633.63/x
  3. Step 3: Cross multiply
    381,277.13x = 821,633.63 × 821,633.63
  4. Step 4: Simplify right side
    381,277.13x = 675,081,813,730.64
  5. Step 5: Solve for x
    x = 675,081,813,730.64/381,277.13
  6. Step 6: Final answer
    x = 1,770,580.42

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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.