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Finding the Third Proportional to 184,722 and 394,020

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Solution

The third proportional to 184,722 and 394,020 is: 840,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,722 : 394,020 = 394,020 : x
  2. Step 2: Convert to fraction form
    184,722/394,020 = 394,020/x
  3. Step 3: Cross multiply
    184,722x = 394,020 × 394,020
  4. Step 4: Simplify right side
    184,722x = 155,251,760,400
  5. Step 5: Solve for x
    x = 155,251,760,400/184,722
  6. Step 6: Final answer
    x = 840,461.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.