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Finding the Third Proportional to 374,831 and 534,208

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Solution

The third proportional to 374,831 and 534,208 is: 761,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,831 : 534,208 = 534,208 : x
  2. Step 2: Convert to fraction form
    374,831/534,208 = 534,208/x
  3. Step 3: Cross multiply
    374,831x = 534,208 × 534,208
  4. Step 4: Simplify right side
    374,831x = 285,378,187,264
  5. Step 5: Solve for x
    x = 285,378,187,264/374,831
  6. Step 6: Final answer
    x = 761,351.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.