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Finding the Third Proportional to 366,403 and 582,851

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Solution

The third proportional to 366,403 and 582,851 is: 927,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,403 : 582,851 = 582,851 : x
  2. Step 2: Convert to fraction form
    366,403/582,851 = 582,851/x
  3. Step 3: Cross multiply
    366,403x = 582,851 × 582,851
  4. Step 4: Simplify right side
    366,403x = 339,715,288,201
  5. Step 5: Solve for x
    x = 339,715,288,201/366,403
  6. Step 6: Final answer
    x = 927,162.96

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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.