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Finding the Third Proportional to 199,472.63 and 403,440.75

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Solution

The third proportional to 199,472.63 and 403,440.75 is: 815,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,472.63 : 403,440.75 = 403,440.75 : x
  2. Step 2: Convert to fraction form
    199,472.63/403,440.75 = 403,440.75/x
  3. Step 3: Cross multiply
    199,472.63x = 403,440.75 × 403,440.75
  4. Step 4: Simplify right side
    199,472.63x = 162,764,438,760.56
  5. Step 5: Solve for x
    x = 162,764,438,760.56/199,472.63
  6. Step 6: Final answer
    x = 815,973.81

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.