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Finding the Third Proportional to 394,530.75 and 838,269

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Solution

The third proportional to 394,530.75 and 838,269 is: 1,781,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,530.75 : 838,269 = 838,269 : x
  2. Step 2: Convert to fraction form
    394,530.75/838,269 = 838,269/x
  3. Step 3: Cross multiply
    394,530.75x = 838,269 × 838,269
  4. Step 4: Simplify right side
    394,530.75x = 702,694,916,361
  5. Step 5: Solve for x
    x = 702,694,916,361/394,530.75
  6. Step 6: Final answer
    x = 1,781,090.36

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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.