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Finding the Third Proportional to 394,805 and 589,573

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Solution

The third proportional to 394,805 and 589,573 is: 880,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,805 : 589,573 = 589,573 : x
  2. Step 2: Convert to fraction form
    394,805/589,573 = 589,573/x
  3. Step 3: Cross multiply
    394,805x = 589,573 × 589,573
  4. Step 4: Simplify right side
    394,805x = 347,596,322,329
  5. Step 5: Solve for x
    x = 347,596,322,329/394,805
  6. Step 6: Final answer
    x = 880,425.33

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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.