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Finding the Third Proportional to 327,264 and 706,098

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Solution

The third proportional to 327,264 and 706,098 is: 1,523,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,264 : 706,098 = 706,098 : x
  2. Step 2: Convert to fraction form
    327,264/706,098 = 706,098/x
  3. Step 3: Cross multiply
    327,264x = 706,098 × 706,098
  4. Step 4: Simplify right side
    327,264x = 498,574,385,604
  5. Step 5: Solve for x
    x = 498,574,385,604/327,264
  6. Step 6: Final answer
    x = 1,523,462.36

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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.