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Finding the Third Proportional to 394,123.50 and 866,979

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Solution

The third proportional to 394,123.50 and 866,979 is: 1,907,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,123.50 : 866,979 = 866,979 : x
  2. Step 2: Convert to fraction form
    394,123.50/866,979 = 866,979/x
  3. Step 3: Cross multiply
    394,123.50x = 866,979 × 866,979
  4. Step 4: Simplify right side
    394,123.50x = 751,652,586,441
  5. Step 5: Solve for x
    x = 751,652,586,441/394,123.50
  6. Step 6: Final answer
    x = 1,907,149.88

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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.