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Finding the Third Proportional to 414,550.50 and 878,922

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Solution

The third proportional to 414,550.50 and 878,922 is: 1,863,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,550.50 : 878,922 = 878,922 : x
  2. Step 2: Convert to fraction form
    414,550.50/878,922 = 878,922/x
  3. Step 3: Cross multiply
    414,550.50x = 878,922 × 878,922
  4. Step 4: Simplify right side
    414,550.50x = 772,503,882,084
  5. Step 5: Solve for x
    x = 772,503,882,084/414,550.50
  6. Step 6: Final answer
    x = 1,863,473.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.