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Finding the Third Proportional to 385,993 and 850,517

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Solution

The third proportional to 385,993 and 850,517 is: 1,874,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,993 : 850,517 = 850,517 : x
  2. Step 2: Convert to fraction form
    385,993/850,517 = 850,517/x
  3. Step 3: Cross multiply
    385,993x = 850,517 × 850,517
  4. Step 4: Simplify right side
    385,993x = 723,379,167,289
  5. Step 5: Solve for x
    x = 723,379,167,289/385,993
  6. Step 6: Final answer
    x = 1,874,073.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.