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Finding the Third Proportional to 339,041 and 498,049.50

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Solution

The third proportional to 339,041 and 498,049.50 is: 731,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,041 : 498,049.50 = 498,049.50 : x
  2. Step 2: Convert to fraction form
    339,041/498,049.50 = 498,049.50/x
  3. Step 3: Cross multiply
    339,041x = 498,049.50 × 498,049.50
  4. Step 4: Simplify right side
    339,041x = 248,053,304,450.25
  5. Step 5: Solve for x
    x = 248,053,304,450.25/339,041
  6. Step 6: Final answer
    x = 731,632.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.