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Finding the Third Proportional to 418,405.50 and 858,863.25

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Solution

The third proportional to 418,405.50 and 858,863.25 is: 1,762,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,405.50 : 858,863.25 = 858,863.25 : x
  2. Step 2: Convert to fraction form
    418,405.50/858,863.25 = 858,863.25/x
  3. Step 3: Cross multiply
    418,405.50x = 858,863.25 × 858,863.25
  4. Step 4: Simplify right side
    418,405.50x = 737,646,082,200.56
  5. Step 5: Solve for x
    x = 737,646,082,200.56/418,405.50
  6. Step 6: Final answer
    x = 1,762,993.27

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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.