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Finding the Third Proportional to 420,079.50 and 667,905.75

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Solution

The third proportional to 420,079.50 and 667,905.75 is: 1,061,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,079.50 : 667,905.75 = 667,905.75 : x
  2. Step 2: Convert to fraction form
    420,079.50/667,905.75 = 667,905.75/x
  3. Step 3: Cross multiply
    420,079.50x = 667,905.75 × 667,905.75
  4. Step 4: Simplify right side
    420,079.50x = 446,098,090,883.06
  5. Step 5: Solve for x
    x = 446,098,090,883.06/420,079.50
  6. Step 6: Final answer
    x = 1,061,937.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.