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Finding the Third Proportional to 204,977.25 and 449,442

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Solution

The third proportional to 204,977.25 and 449,442 is: 985,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,977.25 : 449,442 = 449,442 : x
  2. Step 2: Convert to fraction form
    204,977.25/449,442 = 449,442/x
  3. Step 3: Cross multiply
    204,977.25x = 449,442 × 449,442
  4. Step 4: Simplify right side
    204,977.25x = 201,998,111,364
  5. Step 5: Solve for x
    x = 201,998,111,364/204,977.25
  6. Step 6: Final answer
    x = 985,466.00

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Why These Related Problems?

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