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Finding the Third Proportional to 239,847.75 and 515,997

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Solution

The third proportional to 239,847.75 and 515,997 is: 1,110,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,847.75 : 515,997 = 515,997 : x
  2. Step 2: Convert to fraction form
    239,847.75/515,997 = 515,997/x
  3. Step 3: Cross multiply
    239,847.75x = 515,997 × 515,997
  4. Step 4: Simplify right side
    239,847.75x = 266,252,904,009
  5. Step 5: Solve for x
    x = 266,252,904,009/239,847.75
  6. Step 6: Final answer
    x = 1,110,091.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.