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Finding the Third Proportional to 202,791.25 and 469,447

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Solution

The third proportional to 202,791.25 and 469,447 is: 1,086,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,791.25 : 469,447 = 469,447 : x
  2. Step 2: Convert to fraction form
    202,791.25/469,447 = 469,447/x
  3. Step 3: Cross multiply
    202,791.25x = 469,447 × 469,447
  4. Step 4: Simplify right side
    202,791.25x = 220,380,485,809
  5. Step 5: Solve for x
    x = 220,380,485,809/202,791.25
  6. Step 6: Final answer
    x = 1,086,735.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.