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Finding the Third Proportional to 313,839 and 686,362.50

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Solution

The third proportional to 313,839 and 686,362.50 is: 1,501,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,839 : 686,362.50 = 686,362.50 : x
  2. Step 2: Convert to fraction form
    313,839/686,362.50 = 686,362.50/x
  3. Step 3: Cross multiply
    313,839x = 686,362.50 × 686,362.50
  4. Step 4: Simplify right side
    313,839x = 471,093,481,406.25
  5. Step 5: Solve for x
    x = 471,093,481,406.25/313,839
  6. Step 6: Final answer
    x = 1,501,067.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.