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Finding the Third Proportional to 394,132.50 and 866,997

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Solution

The third proportional to 394,132.50 and 866,997 is: 1,907,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,132.50 : 866,997 = 866,997 : x
  2. Step 2: Convert to fraction form
    394,132.50/866,997 = 866,997/x
  3. Step 3: Cross multiply
    394,132.50x = 866,997 × 866,997
  4. Step 4: Simplify right side
    394,132.50x = 751,683,798,009
  5. Step 5: Solve for x
    x = 751,683,798,009/394,132.50
  6. Step 6: Final answer
    x = 1,907,185.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.