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Finding the Third Proportional to 204,216 and 448,749

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Solution

The third proportional to 204,216 and 448,749 is: 986,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,216 : 448,749 = 448,749 : x
  2. Step 2: Convert to fraction form
    204,216/448,749 = 448,749/x
  3. Step 3: Cross multiply
    204,216x = 448,749 × 448,749
  4. Step 4: Simplify right side
    204,216x = 201,375,665,001
  5. Step 5: Solve for x
    x = 201,375,665,001/204,216
  6. Step 6: Final answer
    x = 986,091.52

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