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Finding the Third Proportional to 350,493 and 765,849

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Solution

The third proportional to 350,493 and 765,849 is: 1,673,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,493 : 765,849 = 765,849 : x
  2. Step 2: Convert to fraction form
    350,493/765,849 = 765,849/x
  3. Step 3: Cross multiply
    350,493x = 765,849 × 765,849
  4. Step 4: Simplify right side
    350,493x = 586,524,690,801
  5. Step 5: Solve for x
    x = 586,524,690,801/350,493
  6. Step 6: Final answer
    x = 1,673,427.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.