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Finding the Third Proportional to 327,032 and 701,350

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Solution

The third proportional to 327,032 and 701,350 is: 1,504,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,032 : 701,350 = 701,350 : x
  2. Step 2: Convert to fraction form
    327,032/701,350 = 701,350/x
  3. Step 3: Cross multiply
    327,032x = 701,350 × 701,350
  4. Step 4: Simplify right side
    327,032x = 491,891,822,500
  5. Step 5: Solve for x
    x = 491,891,822,500/327,032
  6. Step 6: Final answer
    x = 1,504,109.15

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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.