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Finding the Third Proportional to 352,249.59 and 785,178.56

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Solution

The third proportional to 352,249.59 and 785,178.56 is: 1,750,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,249.59 : 785,178.56 = 785,178.56 : x
  2. Step 2: Convert to fraction form
    352,249.59/785,178.56 = 785,178.56/x
  3. Step 3: Cross multiply
    352,249.59x = 785,178.56 × 785,178.56
  4. Step 4: Simplify right side
    352,249.59x = 616,505,375,009.57
  5. Step 5: Solve for x
    x = 616,505,375,009.57/352,249.59
  6. Step 6: Final answer
    x = 1,750,194.71

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.