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Finding the Third Proportional to 394,186 and 608,777

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Solution

The third proportional to 394,186 and 608,777 is: 940,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,186 : 608,777 = 608,777 : x
  2. Step 2: Convert to fraction form
    394,186/608,777 = 608,777/x
  3. Step 3: Cross multiply
    394,186x = 608,777 × 608,777
  4. Step 4: Simplify right side
    394,186x = 370,609,435,729
  5. Step 5: Solve for x
    x = 370,609,435,729/394,186
  6. Step 6: Final answer
    x = 940,189.24

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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.