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Finding the Third Proportional to 202,462.88 and 443,061.56

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Solution

The third proportional to 202,462.88 and 443,061.56 is: 969,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,462.88 : 443,061.56 = 443,061.56 : x
  2. Step 2: Convert to fraction form
    202,462.88/443,061.56 = 443,061.56/x
  3. Step 3: Cross multiply
    202,462.88x = 443,061.56 × 443,061.56
  4. Step 4: Simplify right side
    202,462.88x = 196,303,548,164.94
  5. Step 5: Solve for x
    x = 196,303,548,164.94/202,462.88
  6. Step 6: Final answer
    x = 969,577.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.