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Finding the Third Proportional to 349,340 and 534,192

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Solution

The third proportional to 349,340 and 534,192 is: 816,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,340 : 534,192 = 534,192 : x
  2. Step 2: Convert to fraction form
    349,340/534,192 = 534,192/x
  3. Step 3: Cross multiply
    349,340x = 534,192 × 534,192
  4. Step 4: Simplify right side
    349,340x = 285,361,092,864
  5. Step 5: Solve for x
    x = 285,361,092,864/349,340
  6. Step 6: Final answer
    x = 816,857.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.