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Finding the Third Proportional to 204,763 and 448,892.50

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Solution

The third proportional to 204,763 and 448,892.50 is: 984,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,763 : 448,892.50 = 448,892.50 : x
  2. Step 2: Convert to fraction form
    204,763/448,892.50 = 448,892.50/x
  3. Step 3: Cross multiply
    204,763x = 448,892.50 × 448,892.50
  4. Step 4: Simplify right side
    204,763x = 201,504,476,556.25
  5. Step 5: Solve for x
    x = 201,504,476,556.25/204,763
  6. Step 6: Final answer
    x = 984,086.37

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