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Finding the Third Proportional to 300,642.75 and 626,163.75

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Solution

The third proportional to 300,642.75 and 626,163.75 is: 1,304,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,642.75 : 626,163.75 = 626,163.75 : x
  2. Step 2: Convert to fraction form
    300,642.75/626,163.75 = 626,163.75/x
  3. Step 3: Cross multiply
    300,642.75x = 626,163.75 × 626,163.75
  4. Step 4: Simplify right side
    300,642.75x = 392,081,041,814.06
  5. Step 5: Solve for x
    x = 392,081,041,814.06/300,642.75
  6. Step 6: Final answer
    x = 1,304,142.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.