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Finding the Third Proportional to 183,622 and 394,028

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Solution

The third proportional to 183,622 and 394,028 is: 845,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,622 : 394,028 = 394,028 : x
  2. Step 2: Convert to fraction form
    183,622/394,028 = 394,028/x
  3. Step 3: Cross multiply
    183,622x = 394,028 × 394,028
  4. Step 4: Simplify right side
    183,622x = 155,258,064,784
  5. Step 5: Solve for x
    x = 155,258,064,784/183,622
  6. Step 6: Final answer
    x = 845,530.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.