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Finding the Third Proportional to 565,198 and 792,125

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Solution

The third proportional to 565,198 and 792,125 is: 1,110,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,198 : 792,125 = 792,125 : x
  2. Step 2: Convert to fraction form
    565,198/792,125 = 792,125/x
  3. Step 3: Cross multiply
    565,198x = 792,125 × 792,125
  4. Step 4: Simplify right side
    565,198x = 627,462,015,625
  5. Step 5: Solve for x
    x = 627,462,015,625/565,198
  6. Step 6: Final answer
    x = 1,110,163.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.