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Finding the Third Proportional to 366,400 and 582,845

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Solution

The third proportional to 366,400 and 582,845 is: 927,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,400 : 582,845 = 582,845 : x
  2. Step 2: Convert to fraction form
    366,400/582,845 = 582,845/x
  3. Step 3: Cross multiply
    366,400x = 582,845 × 582,845
  4. Step 4: Simplify right side
    366,400x = 339,708,294,025
  5. Step 5: Solve for x
    x = 339,708,294,025/366,400
  6. Step 6: Final answer
    x = 927,151.46

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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.