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Finding the Third Proportional to 327,232 and 706,016

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Solution

The third proportional to 327,232 and 706,016 is: 1,523,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,232 : 706,016 = 706,016 : x
  2. Step 2: Convert to fraction form
    327,232/706,016 = 706,016/x
  3. Step 3: Cross multiply
    327,232x = 706,016 × 706,016
  4. Step 4: Simplify right side
    327,232x = 498,458,592,256
  5. Step 5: Solve for x
    x = 498,458,592,256/327,232
  6. Step 6: Final answer
    x = 1,523,257.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.