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Finding the Third Proportional to 327,755 and 715,086

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Solution

The third proportional to 327,755 and 715,086 is: 1,560,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,755 : 715,086 = 715,086 : x
  2. Step 2: Convert to fraction form
    327,755/715,086 = 715,086/x
  3. Step 3: Cross multiply
    327,755x = 715,086 × 715,086
  4. Step 4: Simplify right side
    327,755x = 511,347,987,396
  5. Step 5: Solve for x
    x = 511,347,987,396/327,755
  6. Step 6: Final answer
    x = 1,560,153.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.