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Finding the Third Proportional to 340,936.17 and 717,816.09

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Solution

The third proportional to 340,936.17 and 717,816.09 is: 1,511,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,936.17 : 717,816.09 = 717,816.09 : x
  2. Step 2: Convert to fraction form
    340,936.17/717,816.09 = 717,816.09/x
  3. Step 3: Cross multiply
    340,936.17x = 717,816.09 × 717,816.09
  4. Step 4: Simplify right side
    340,936.17x = 515,259,944,446.51
  5. Step 5: Solve for x
    x = 515,259,944,446.51/340,936.17
  6. Step 6: Final answer
    x = 1,511,309.12

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.