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Finding the Third Proportional to 436,686 and 694,395

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Solution

The third proportional to 436,686 and 694,395 is: 1,104,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,686 : 694,395 = 694,395 : x
  2. Step 2: Convert to fraction form
    436,686/694,395 = 694,395/x
  3. Step 3: Cross multiply
    436,686x = 694,395 × 694,395
  4. Step 4: Simplify right side
    436,686x = 482,184,416,025
  5. Step 5: Solve for x
    x = 482,184,416,025/436,686
  6. Step 6: Final answer
    x = 1,104,190.23

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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.