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Finding the Third Proportional to 339,788 and 475,250

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Solution

The third proportional to 339,788 and 475,250 is: 664,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,788 : 475,250 = 475,250 : x
  2. Step 2: Convert to fraction form
    339,788/475,250 = 475,250/x
  3. Step 3: Cross multiply
    339,788x = 475,250 × 475,250
  4. Step 4: Simplify right side
    339,788x = 225,862,562,500
  5. Step 5: Solve for x
    x = 225,862,562,500/339,788
  6. Step 6: Final answer
    x = 664,716.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.