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Finding the Third Proportional to 351,849 and 772,204

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Solution

The third proportional to 351,849 and 772,204 is: 1,694,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,849 : 772,204 = 772,204 : x
  2. Step 2: Convert to fraction form
    351,849/772,204 = 772,204/x
  3. Step 3: Cross multiply
    351,849x = 772,204 × 772,204
  4. Step 4: Simplify right side
    351,849x = 596,299,017,616
  5. Step 5: Solve for x
    x = 596,299,017,616/351,849
  6. Step 6: Final answer
    x = 1,694,758.31

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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.