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Finding the Third Proportional to 305,891.44 and 631,450.69

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Solution

The third proportional to 305,891.44 and 631,450.69 is: 1,303,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,891.44 : 631,450.69 = 631,450.69 : x
  2. Step 2: Convert to fraction form
    305,891.44/631,450.69 = 631,450.69/x
  3. Step 3: Cross multiply
    305,891.44x = 631,450.69 × 631,450.69
  4. Step 4: Simplify right side
    305,891.44x = 398,729,970,744.22
  5. Step 5: Solve for x
    x = 398,729,970,744.22/305,891.44
  6. Step 6: Final answer
    x = 1,303,501.58

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.