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Finding the Third Proportional to 207,749.81 and 446,531.44

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Solution

The third proportional to 207,749.81 and 446,531.44 is: 959,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,749.81 : 446,531.44 = 446,531.44 : x
  2. Step 2: Convert to fraction form
    207,749.81/446,531.44 = 446,531.44/x
  3. Step 3: Cross multiply
    207,749.81x = 446,531.44 × 446,531.44
  4. Step 4: Simplify right side
    207,749.81x = 199,390,324,675.82
  5. Step 5: Solve for x
    x = 199,390,324,675.82/207,749.81
  6. Step 6: Final answer
    x = 959,761.76

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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.