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Finding the Third Proportional to 332,109 and 515,659.50

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Solution

The third proportional to 332,109 and 515,659.50 is: 800,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,109 : 515,659.50 = 515,659.50 : x
  2. Step 2: Convert to fraction form
    332,109/515,659.50 = 515,659.50/x
  3. Step 3: Cross multiply
    332,109x = 515,659.50 × 515,659.50
  4. Step 4: Simplify right side
    332,109x = 265,904,719,940.25
  5. Step 5: Solve for x
    x = 265,904,719,940.25/332,109
  6. Step 6: Final answer
    x = 800,654.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.