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Finding the Third Proportional to 204,264 and 448,841.25

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Solution

The third proportional to 204,264 and 448,841.25 is: 986,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,264 : 448,841.25 = 448,841.25 : x
  2. Step 2: Convert to fraction form
    204,264/448,841.25 = 448,841.25/x
  3. Step 3: Cross multiply
    204,264x = 448,841.25 × 448,841.25
  4. Step 4: Simplify right side
    204,264x = 201,458,467,701.56
  5. Step 5: Solve for x
    x = 201,458,467,701.56/204,264
  6. Step 6: Final answer
    x = 986,265.17

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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.