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Finding the Third Proportional to 327,736.97 and 715,051.69

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Solution

The third proportional to 327,736.97 and 715,051.69 is: 1,560,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,736.97 : 715,051.69 = 715,051.69 : x
  2. Step 2: Convert to fraction form
    327,736.97/715,051.69 = 715,051.69/x
  3. Step 3: Cross multiply
    327,736.97x = 715,051.69 × 715,051.69
  4. Step 4: Simplify right side
    327,736.97x = 511,298,915,796.60
  5. Step 5: Solve for x
    x = 511,298,915,796.60/327,736.97
  6. Step 6: Final answer
    x = 1,560,089.23

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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.