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Finding the Third Proportional to 262,589 and 416,849

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Solution

The third proportional to 262,589 and 416,849 is: 661,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,589 : 416,849 = 416,849 : x
  2. Step 2: Convert to fraction form
    262,589/416,849 = 416,849/x
  3. Step 3: Cross multiply
    262,589x = 416,849 × 416,849
  4. Step 4: Simplify right side
    262,589x = 173,763,088,801
  5. Step 5: Solve for x
    x = 173,763,088,801/262,589
  6. Step 6: Final answer
    x = 661,730.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.