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Finding the Third Proportional to 184,580 and 394,754

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Solution

The third proportional to 184,580 and 394,754 is: 844,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,580 : 394,754 = 394,754 : x
  2. Step 2: Convert to fraction form
    184,580/394,754 = 394,754/x
  3. Step 3: Cross multiply
    184,580x = 394,754 × 394,754
  4. Step 4: Simplify right side
    184,580x = 155,830,720,516
  5. Step 5: Solve for x
    x = 155,830,720,516/184,580
  6. Step 6: Final answer
    x = 844,244.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.