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Finding the Third Proportional to 394,532.25 and 838,272

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Solution

The third proportional to 394,532.25 and 838,272 is: 1,781,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,532.25 : 838,272 = 838,272 : x
  2. Step 2: Convert to fraction form
    394,532.25/838,272 = 838,272/x
  3. Step 3: Cross multiply
    394,532.25x = 838,272 × 838,272
  4. Step 4: Simplify right side
    394,532.25x = 702,699,945,984
  5. Step 5: Solve for x
    x = 702,699,945,984/394,532.25
  6. Step 6: Final answer
    x = 1,781,096.34

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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.