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Finding the Third Proportional to 394,178 and 608,762

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Solution

The third proportional to 394,178 and 608,762 is: 940,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,178 : 608,762 = 608,762 : x
  2. Step 2: Convert to fraction form
    394,178/608,762 = 608,762/x
  3. Step 3: Cross multiply
    394,178x = 608,762 × 608,762
  4. Step 4: Simplify right side
    394,178x = 370,591,172,644
  5. Step 5: Solve for x
    x = 370,591,172,644/394,178
  6. Step 6: Final answer
    x = 940,161.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.