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Finding the Third Proportional to 385,175.25 and 858,863.25

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Solution

The third proportional to 385,175.25 and 858,863.25 is: 1,915,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,175.25 : 858,863.25 = 858,863.25 : x
  2. Step 2: Convert to fraction form
    385,175.25/858,863.25 = 858,863.25/x
  3. Step 3: Cross multiply
    385,175.25x = 858,863.25 × 858,863.25
  4. Step 4: Simplify right side
    385,175.25x = 737,646,082,200.56
  5. Step 5: Solve for x
    x = 737,646,082,200.56/385,175.25
  6. Step 6: Final answer
    x = 1,915,092.11

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Why These Related Problems?

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