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Finding the Third Proportional to 436,646 and 694,336

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Solution

The third proportional to 436,646 and 694,336 is: 1,104,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,646 : 694,336 = 694,336 : x
  2. Step 2: Convert to fraction form
    436,646/694,336 = 694,336/x
  3. Step 3: Cross multiply
    436,646x = 694,336 × 694,336
  4. Step 4: Simplify right side
    436,646x = 482,102,480,896
  5. Step 5: Solve for x
    x = 482,102,480,896/436,646
  6. Step 6: Final answer
    x = 1,104,103.74

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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.