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Finding the Third Proportional to 414,193.50 and 893,625.75

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Solution

The third proportional to 414,193.50 and 893,625.75 is: 1,928,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,193.50 : 893,625.75 = 893,625.75 : x
  2. Step 2: Convert to fraction form
    414,193.50/893,625.75 = 893,625.75/x
  3. Step 3: Cross multiply
    414,193.50x = 893,625.75 × 893,625.75
  4. Step 4: Simplify right side
    414,193.50x = 798,566,981,063.06
  5. Step 5: Solve for x
    x = 798,566,981,063.06/414,193.50
  6. Step 6: Final answer
    x = 1,928,004.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.