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Finding the Third Proportional to 207,849.38 and 446,777.44

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Solution

The third proportional to 207,849.38 and 446,777.44 is: 960,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,849.38 : 446,777.44 = 446,777.44 : x
  2. Step 2: Convert to fraction form
    207,849.38/446,777.44 = 446,777.44/x
  3. Step 3: Cross multiply
    207,849.38x = 446,777.44 × 446,777.44
  4. Step 4: Simplify right side
    207,849.38x = 199,610,078,659.07
  5. Step 5: Solve for x
    x = 199,610,078,659.07/207,849.38
  6. Step 6: Final answer
    x = 960,359.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.