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Finding the Third Proportional to 327,996 and 706,293

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Solution

The third proportional to 327,996 and 706,293 is: 1,520,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,996 : 706,293 = 706,293 : x
  2. Step 2: Convert to fraction form
    327,996/706,293 = 706,293/x
  3. Step 3: Cross multiply
    327,996x = 706,293 × 706,293
  4. Step 4: Simplify right side
    327,996x = 498,849,801,849
  5. Step 5: Solve for x
    x = 498,849,801,849/327,996
  6. Step 6: Final answer
    x = 1,520,902.09

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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.