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Finding the Third Proportional to 385,175 and 858,863

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Solution

The third proportional to 385,175 and 858,863 is: 1,915,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,175 : 858,863 = 858,863 : x
  2. Step 2: Convert to fraction form
    385,175/858,863 = 858,863/x
  3. Step 3: Cross multiply
    385,175x = 858,863 × 858,863
  4. Step 4: Simplify right side
    385,175x = 737,645,652,769
  5. Step 5: Solve for x
    x = 737,645,652,769/385,175
  6. Step 6: Final answer
    x = 1,915,092.24

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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.