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Finding the Third Proportional to 436,668 and 694,378

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Solution

The third proportional to 436,668 and 694,378 is: 1,104,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,668 : 694,378 = 694,378 : x
  2. Step 2: Convert to fraction form
    436,668/694,378 = 694,378/x
  3. Step 3: Cross multiply
    436,668x = 694,378 × 694,378
  4. Step 4: Simplify right side
    436,668x = 482,160,806,884
  5. Step 5: Solve for x
    x = 482,160,806,884/436,668
  6. Step 6: Final answer
    x = 1,104,181.68

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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.