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Finding the Third Proportional to 415,906.50 and 851,485.75

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Solution

The third proportional to 415,906.50 and 851,485.75 is: 1,743,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,906.50 : 851,485.75 = 851,485.75 : x
  2. Step 2: Convert to fraction form
    415,906.50/851,485.75 = 851,485.75/x
  3. Step 3: Cross multiply
    415,906.50x = 851,485.75 × 851,485.75
  4. Step 4: Simplify right side
    415,906.50x = 725,027,982,453.06
  5. Step 5: Solve for x
    x = 725,027,982,453.06/415,906.50
  6. Step 6: Final answer
    x = 1,743,247.54

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.