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Finding the Third Proportional to 414,497.25 and 899,950.50

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Solution

The third proportional to 414,497.25 and 899,950.50 is: 1,953,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,497.25 : 899,950.50 = 899,950.50 : x
  2. Step 2: Convert to fraction form
    414,497.25/899,950.50 = 899,950.50/x
  3. Step 3: Cross multiply
    414,497.25x = 899,950.50 × 899,950.50
  4. Step 4: Simplify right side
    414,497.25x = 809,910,902,450.25
  5. Step 5: Solve for x
    x = 809,910,902,450.25/414,497.25
  6. Step 6: Final answer
    x = 1,953,959.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.