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Finding the Third Proportional to 204,370 and 449,062

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Solution

The third proportional to 204,370 and 449,062 is: 986,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,370 : 449,062 = 449,062 : x
  2. Step 2: Convert to fraction form
    204,370/449,062 = 449,062/x
  3. Step 3: Cross multiply
    204,370x = 449,062 × 449,062
  4. Step 4: Simplify right side
    204,370x = 201,656,679,844
  5. Step 5: Solve for x
    x = 201,656,679,844/204,370
  6. Step 6: Final answer
    x = 986,723.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.