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Finding the Third Proportional to 394,322 and 590,816

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Solution

The third proportional to 394,322 and 590,816 is: 885,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,322 : 590,816 = 590,816 : x
  2. Step 2: Convert to fraction form
    394,322/590,816 = 590,816/x
  3. Step 3: Cross multiply
    394,322x = 590,816 × 590,816
  4. Step 4: Simplify right side
    394,322x = 349,063,545,856
  5. Step 5: Solve for x
    x = 349,063,545,856/394,322
  6. Step 6: Final answer
    x = 885,224.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.