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Finding the Third Proportional to 565,170 and 792,085

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Solution

The third proportional to 565,170 and 792,085 is: 1,110,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,170 : 792,085 = 792,085 : x
  2. Step 2: Convert to fraction form
    565,170/792,085 = 792,085/x
  3. Step 3: Cross multiply
    565,170x = 792,085 × 792,085
  4. Step 4: Simplify right side
    565,170x = 627,398,647,225
  5. Step 5: Solve for x
    x = 627,398,647,225/565,170
  6. Step 6: Final answer
    x = 1,110,106.07

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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.