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Finding the Third Proportional to 327,619 and 700,781

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Solution

The third proportional to 327,619 and 700,781 is: 1,498,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,619 : 700,781 = 700,781 : x
  2. Step 2: Convert to fraction form
    327,619/700,781 = 700,781/x
  3. Step 3: Cross multiply
    327,619x = 700,781 × 700,781
  4. Step 4: Simplify right side
    327,619x = 491,094,009,961
  5. Step 5: Solve for x
    x = 491,094,009,961/327,619
  6. Step 6: Final answer
    x = 1,498,979.03

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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.