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Finding the Third Proportional to 204,123 and 448,098

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Solution

The third proportional to 204,123 and 448,098 is: 983,680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,123 : 448,098 = 448,098 : x
  2. Step 2: Convert to fraction form
    204,123/448,098 = 448,098/x
  3. Step 3: Cross multiply
    204,123x = 448,098 × 448,098
  4. Step 4: Simplify right side
    204,123x = 200,791,817,604
  5. Step 5: Solve for x
    x = 200,791,817,604/204,123
  6. Step 6: Final answer
    x = 983,680.51

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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.