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Finding the Third Proportional to 339,486.75 and 706,857.75

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Solution

The third proportional to 339,486.75 and 706,857.75 is: 1,471,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,486.75 : 706,857.75 = 706,857.75 : x
  2. Step 2: Convert to fraction form
    339,486.75/706,857.75 = 706,857.75/x
  3. Step 3: Cross multiply
    339,486.75x = 706,857.75 × 706,857.75
  4. Step 4: Simplify right side
    339,486.75x = 499,647,878,735.06
  5. Step 5: Solve for x
    x = 499,647,878,735.06/339,486.75
  6. Step 6: Final answer
    x = 1,471,774.31

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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.