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Finding the Third Proportional to 339,147.50 and 706,204.75

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Solution

The third proportional to 339,147.50 and 706,204.75 is: 1,470,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,147.50 : 706,204.75 = 706,204.75 : x
  2. Step 2: Convert to fraction form
    339,147.50/706,204.75 = 706,204.75/x
  3. Step 3: Cross multiply
    339,147.50x = 706,204.75 × 706,204.75
  4. Step 4: Simplify right side
    339,147.50x = 498,725,148,922.56
  5. Step 5: Solve for x
    x = 498,725,148,922.56/339,147.50
  6. Step 6: Final answer
    x = 1,470,525.80

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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.