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Finding the Third Proportional to 436,649 and 694,341

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Solution

The third proportional to 436,649 and 694,341 is: 1,104,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,649 : 694,341 = 694,341 : x
  2. Step 2: Convert to fraction form
    436,649/694,341 = 694,341/x
  3. Step 3: Cross multiply
    436,649x = 694,341 × 694,341
  4. Step 4: Simplify right side
    436,649x = 482,109,424,281
  5. Step 5: Solve for x
    x = 482,109,424,281/436,649
  6. Step 6: Final answer
    x = 1,104,112.05

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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.