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Finding the Third Proportional to 437,794 and 629,042

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Solution

The third proportional to 437,794 and 629,042 is: 903,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,794 : 629,042 = 629,042 : x
  2. Step 2: Convert to fraction form
    437,794/629,042 = 629,042/x
  3. Step 3: Cross multiply
    437,794x = 629,042 × 629,042
  4. Step 4: Simplify right side
    437,794x = 395,693,837,764
  5. Step 5: Solve for x
    x = 395,693,837,764/437,794
  6. Step 6: Final answer
    x = 903,835.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.