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Finding the Third Proportional to 204,295 and 448,899

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Solution

The third proportional to 204,295 and 448,899 is: 986,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,295 : 448,899 = 448,899 : x
  2. Step 2: Convert to fraction form
    204,295/448,899 = 448,899/x
  3. Step 3: Cross multiply
    204,295x = 448,899 × 448,899
  4. Step 4: Simplify right side
    204,295x = 201,510,312,201
  5. Step 5: Solve for x
    x = 201,510,312,201/204,295
  6. Step 6: Final answer
    x = 986,369.28

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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.