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Finding the Third Proportional to 283,579.31 and 593,448.19

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Solution

The third proportional to 283,579.31 and 593,448.19 is: 1,241,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,579.31 : 593,448.19 = 593,448.19 : x
  2. Step 2: Convert to fraction form
    283,579.31/593,448.19 = 593,448.19/x
  3. Step 3: Cross multiply
    283,579.31x = 593,448.19 × 593,448.19
  4. Step 4: Simplify right side
    283,579.31x = 352,180,751,247.04
  5. Step 5: Solve for x
    x = 352,180,751,247.04/283,579.31
  6. Step 6: Final answer
    x = 1,241,912.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.