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Finding the Third Proportional to 184,690 and 397,628

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Solution

The third proportional to 184,690 and 397,628 is: 856,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,690 : 397,628 = 397,628 : x
  2. Step 2: Convert to fraction form
    184,690/397,628 = 397,628/x
  3. Step 3: Cross multiply
    184,690x = 397,628 × 397,628
  4. Step 4: Simplify right side
    184,690x = 158,108,026,384
  5. Step 5: Solve for x
    x = 158,108,026,384/184,690
  6. Step 6: Final answer
    x = 856,072.48

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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.