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Finding the Third Proportional to 393,642.56 and 590,361.19

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Solution

The third proportional to 393,642.56 and 590,361.19 is: 885,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,642.56 : 590,361.19 = 590,361.19 : x
  2. Step 2: Convert to fraction form
    393,642.56/590,361.19 = 590,361.19/x
  3. Step 3: Cross multiply
    393,642.56x = 590,361.19 × 590,361.19
  4. Step 4: Simplify right side
    393,642.56x = 348,526,331,706.41
  5. Step 5: Solve for x
    x = 348,526,331,706.41/393,642.56
  6. Step 6: Final answer
    x = 885,387.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.