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Finding the Third Proportional to 412,125.75 and 878,685.75

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Solution

The third proportional to 412,125.75 and 878,685.75 is: 1,873,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,125.75 : 878,685.75 = 878,685.75 : x
  2. Step 2: Convert to fraction form
    412,125.75/878,685.75 = 878,685.75/x
  3. Step 3: Cross multiply
    412,125.75x = 878,685.75 × 878,685.75
  4. Step 4: Simplify right side
    412,125.75x = 772,088,647,253.06
  5. Step 5: Solve for x
    x = 772,088,647,253.06/412,125.75
  6. Step 6: Final answer
    x = 1,873,429.77

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.