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Finding the Third Proportional to 394,532 and 838,271

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Solution

The third proportional to 394,532 and 838,271 is: 1,781,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,532 : 838,271 = 838,271 : x
  2. Step 2: Convert to fraction form
    394,532/838,271 = 838,271/x
  3. Step 3: Cross multiply
    394,532x = 838,271 × 838,271
  4. Step 4: Simplify right side
    394,532x = 702,698,269,441
  5. Step 5: Solve for x
    x = 702,698,269,441/394,532
  6. Step 6: Final answer
    x = 1,781,093.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.