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Finding the Third Proportional to 349,510 and 758,204

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Solution

The third proportional to 349,510 and 758,204 is: 1,644,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,510 : 758,204 = 758,204 : x
  2. Step 2: Convert to fraction form
    349,510/758,204 = 758,204/x
  3. Step 3: Cross multiply
    349,510x = 758,204 × 758,204
  4. Step 4: Simplify right side
    349,510x = 574,873,305,616
  5. Step 5: Solve for x
    x = 574,873,305,616/349,510
  6. Step 6: Final answer
    x = 1,644,797.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.