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Finding the Third Proportional to 269,361.56 and 401,706.84

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Solution

The third proportional to 269,361.56 and 401,706.84 is: 599,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,361.56 : 401,706.84 = 401,706.84 : x
  2. Step 2: Convert to fraction form
    269,361.56/401,706.84 = 401,706.84/x
  3. Step 3: Cross multiply
    269,361.56x = 401,706.84 × 401,706.84
  4. Step 4: Simplify right side
    269,361.56x = 161,368,388,315.59
  5. Step 5: Solve for x
    x = 161,368,388,315.59/269,361.56
  6. Step 6: Final answer
    x = 599,077.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.