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Finding the Third Proportional to 339,710 and 694,160

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Solution

The third proportional to 339,710 and 694,160 is: 1,418,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,710 : 694,160 = 694,160 : x
  2. Step 2: Convert to fraction form
    339,710/694,160 = 694,160/x
  3. Step 3: Cross multiply
    339,710x = 694,160 × 694,160
  4. Step 4: Simplify right side
    339,710x = 481,858,105,600
  5. Step 5: Solve for x
    x = 481,858,105,600/339,710
  6. Step 6: Final answer
    x = 1,418,439.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.