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Finding the Third Proportional to 352,884 and 769,212

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Solution

The third proportional to 352,884 and 769,212 is: 1,676,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,884 : 769,212 = 769,212 : x
  2. Step 2: Convert to fraction form
    352,884/769,212 = 769,212/x
  3. Step 3: Cross multiply
    352,884x = 769,212 × 769,212
  4. Step 4: Simplify right side
    352,884x = 591,687,100,944
  5. Step 5: Solve for x
    x = 591,687,100,944/352,884
  6. Step 6: Final answer
    x = 1,676,718.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.