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Finding the Third Proportional to 366,399.50 and 582,845.50

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Solution

The third proportional to 366,399.50 and 582,845.50 is: 927,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,399.50 : 582,845.50 = 582,845.50 : x
  2. Step 2: Convert to fraction form
    366,399.50/582,845.50 = 582,845.50/x
  3. Step 3: Cross multiply
    366,399.50x = 582,845.50 × 582,845.50
  4. Step 4: Simplify right side
    366,399.50x = 339,708,876,870.25
  5. Step 5: Solve for x
    x = 339,708,876,870.25/366,399.50
  6. Step 6: Final answer
    x = 927,154.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.