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Finding the Third Proportional to 184,679 and 397,852

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Solution

The third proportional to 184,679 and 397,852 is: 857,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,679 : 397,852 = 397,852 : x
  2. Step 2: Convert to fraction form
    184,679/397,852 = 397,852/x
  3. Step 3: Cross multiply
    184,679x = 397,852 × 397,852
  4. Step 4: Simplify right side
    184,679x = 158,286,213,904
  5. Step 5: Solve for x
    x = 158,286,213,904/184,679
  6. Step 6: Final answer
    x = 857,088.32

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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.