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Finding the Third Proportional to 414,733.50 and 873,733.50

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Solution

The third proportional to 414,733.50 and 873,733.50 is: 1,840,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,733.50 : 873,733.50 = 873,733.50 : x
  2. Step 2: Convert to fraction form
    414,733.50/873,733.50 = 873,733.50/x
  3. Step 3: Cross multiply
    414,733.50x = 873,733.50 × 873,733.50
  4. Step 4: Simplify right side
    414,733.50x = 763,410,229,022.25
  5. Step 5: Solve for x
    x = 763,410,229,022.25/414,733.50
  6. Step 6: Final answer
    x = 1,840,724.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.