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Finding the Third Proportional to 184,570 and 396,607

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Solution

The third proportional to 184,570 and 396,607 is: 852,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,570 : 396,607 = 396,607 : x
  2. Step 2: Convert to fraction form
    184,570/396,607 = 396,607/x
  3. Step 3: Cross multiply
    184,570x = 396,607 × 396,607
  4. Step 4: Simplify right side
    184,570x = 157,297,112,449
  5. Step 5: Solve for x
    x = 157,297,112,449/184,570
  6. Step 6: Final answer
    x = 852,235.53

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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.