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Finding the Third Proportional to 394,165.50 and 601,090.50

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Solution

The third proportional to 394,165.50 and 601,090.50 is: 916,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,165.50 : 601,090.50 = 601,090.50 : x
  2. Step 2: Convert to fraction form
    394,165.50/601,090.50 = 601,090.50/x
  3. Step 3: Cross multiply
    394,165.50x = 601,090.50 × 601,090.50
  4. Step 4: Simplify right side
    394,165.50x = 361,309,789,190.25
  5. Step 5: Solve for x
    x = 361,309,789,190.25/394,165.50
  6. Step 6: Final answer
    x = 916,644.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.