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Finding the Third Proportional to 567,198 and 850,794

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Solution

The third proportional to 567,198 and 850,794 is: 1,276,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,198 : 850,794 = 850,794 : x
  2. Step 2: Convert to fraction form
    567,198/850,794 = 850,794/x
  3. Step 3: Cross multiply
    567,198x = 850,794 × 850,794
  4. Step 4: Simplify right side
    567,198x = 723,850,430,436
  5. Step 5: Solve for x
    x = 723,850,430,436/567,198
  6. Step 6: Final answer
    x = 1,276,186.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.