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Finding the Third Proportional to 327,720.94 and 700,976.25

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Solution

The third proportional to 327,720.94 and 700,976.25 is: 1,499,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,720.94 : 700,976.25 = 700,976.25 : x
  2. Step 2: Convert to fraction form
    327,720.94/700,976.25 = 700,976.25/x
  3. Step 3: Cross multiply
    327,720.94x = 700,976.25 × 700,976.25
  4. Step 4: Simplify right side
    327,720.94x = 491,367,703,064.06
  5. Step 5: Solve for x
    x = 491,367,703,064.06/327,720.94
  6. Step 6: Final answer
    x = 1,499,347.91

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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.