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Finding the Third Proportional to 565,194 and 792,109

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Solution

The third proportional to 565,194 and 792,109 is: 1,110,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,194 : 792,109 = 792,109 : x
  2. Step 2: Convert to fraction form
    565,194/792,109 = 792,109/x
  3. Step 3: Cross multiply
    565,194x = 792,109 × 792,109
  4. Step 4: Simplify right side
    565,194x = 627,436,667,881
  5. Step 5: Solve for x
    x = 627,436,667,881/565,194
  6. Step 6: Final answer
    x = 1,110,126.20

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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.