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Finding the Third Proportional to 203,788 and 449,044

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Solution

The third proportional to 203,788 and 449,044 is: 989,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,788 : 449,044 = 449,044 : x
  2. Step 2: Convert to fraction form
    203,788/449,044 = 449,044/x
  3. Step 3: Cross multiply
    203,788x = 449,044 × 449,044
  4. Step 4: Simplify right side
    203,788x = 201,640,513,936
  5. Step 5: Solve for x
    x = 201,640,513,936/203,788
  6. Step 6: Final answer
    x = 989,462.16

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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.