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Finding the Third Proportional to 204,375 and 449,075

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Solution

The third proportional to 204,375 and 449,075 is: 986,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,375 : 449,075 = 449,075 : x
  2. Step 2: Convert to fraction form
    204,375/449,075 = 449,075/x
  3. Step 3: Cross multiply
    204,375x = 449,075 × 449,075
  4. Step 4: Simplify right side
    204,375x = 201,668,355,625
  5. Step 5: Solve for x
    x = 201,668,355,625/204,375
  6. Step 6: Final answer
    x = 986,756.48

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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.