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Finding the Third Proportional to 204,400.13 and 449,094.38

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Solution

The third proportional to 204,400.13 and 449,094.38 is: 986,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,400.13 : 449,094.38 = 449,094.38 : x
  2. Step 2: Convert to fraction form
    204,400.13/449,094.38 = 449,094.38/x
  3. Step 3: Cross multiply
    204,400.13x = 449,094.38 × 449,094.38
  4. Step 4: Simplify right side
    204,400.13x = 201,685,757,656.64
  5. Step 5: Solve for x
    x = 201,685,757,656.64/204,400.13
  6. Step 6: Final answer
    x = 986,720.32

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Why These Related Problems?

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