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Finding the Third Proportional to 339,968.25 and 739,991.25

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Solution

The third proportional to 339,968.25 and 739,991.25 is: 1,610,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,968.25 : 739,991.25 = 739,991.25 : x
  2. Step 2: Convert to fraction form
    339,968.25/739,991.25 = 739,991.25/x
  3. Step 3: Cross multiply
    339,968.25x = 739,991.25 × 739,991.25
  4. Step 4: Simplify right side
    339,968.25x = 547,587,050,076.56
  5. Step 5: Solve for x
    x = 547,587,050,076.56/339,968.25
  6. Step 6: Final answer
    x = 1,610,700.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.