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Finding the Third Proportional to 394,794 and 589,558

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Solution

The third proportional to 394,794 and 589,558 is: 880,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,794 : 589,558 = 589,558 : x
  2. Step 2: Convert to fraction form
    394,794/589,558 = 589,558/x
  3. Step 3: Cross multiply
    394,794x = 589,558 × 589,558
  4. Step 4: Simplify right side
    394,794x = 347,578,635,364
  5. Step 5: Solve for x
    x = 347,578,635,364/394,794
  6. Step 6: Final answer
    x = 880,405.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.