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Finding the Third Proportional to 206,453.81 and 452,273.63

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Solution

The third proportional to 206,453.81 and 452,273.63 is: 990,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,453.81 : 452,273.63 = 452,273.63 : x
  2. Step 2: Convert to fraction form
    206,453.81/452,273.63 = 452,273.63/x
  3. Step 3: Cross multiply
    206,453.81x = 452,273.63 × 452,273.63
  4. Step 4: Simplify right side
    206,453.81x = 204,551,431,870.64
  5. Step 5: Solve for x
    x = 204,551,431,870.64/206,453.81
  6. Step 6: Final answer
    x = 990,785.44

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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.