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Finding the Third Proportional to 385,173.75 and 858,861.75

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Solution

The third proportional to 385,173.75 and 858,861.75 is: 1,915,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,173.75 : 858,861.75 = 858,861.75 : x
  2. Step 2: Convert to fraction form
    385,173.75/858,861.75 = 858,861.75/x
  3. Step 3: Cross multiply
    385,173.75x = 858,861.75 × 858,861.75
  4. Step 4: Simplify right side
    385,173.75x = 737,643,505,613.06
  5. Step 5: Solve for x
    x = 737,643,505,613.06/385,173.75
  6. Step 6: Final answer
    x = 1,915,092.88

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.