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Finding the Third Proportional to 339,704 and 694,148

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Solution

The third proportional to 339,704 and 694,148 is: 1,418,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,704 : 694,148 = 694,148 : x
  2. Step 2: Convert to fraction form
    339,704/694,148 = 694,148/x
  3. Step 3: Cross multiply
    339,704x = 694,148 × 694,148
  4. Step 4: Simplify right side
    339,704x = 481,841,445,904
  5. Step 5: Solve for x
    x = 481,841,445,904/339,704
  6. Step 6: Final answer
    x = 1,418,415.58

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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.