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Finding the Third Proportional to 414,552.94 and 878,928.47

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Solution

The third proportional to 414,552.94 and 878,928.47 is: 1,863,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,552.94 : 878,928.47 = 878,928.47 : x
  2. Step 2: Convert to fraction form
    414,552.94/878,928.47 = 878,928.47/x
  3. Step 3: Cross multiply
    414,552.94x = 878,928.47 × 878,928.47
  4. Step 4: Simplify right side
    414,552.94x = 772,515,253,179.22
  5. Step 5: Solve for x
    x = 772,515,253,179.22/414,552.94
  6. Step 6: Final answer
    x = 1,863,490.00

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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.