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Finding the Third Proportional to 379,602 and 582,086

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Solution

The third proportional to 379,602 and 582,086 is: 892,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,602 : 582,086 = 582,086 : x
  2. Step 2: Convert to fraction form
    379,602/582,086 = 582,086/x
  3. Step 3: Cross multiply
    379,602x = 582,086 × 582,086
  4. Step 4: Simplify right side
    379,602x = 338,824,111,396
  5. Step 5: Solve for x
    x = 338,824,111,396/379,602
  6. Step 6: Final answer
    x = 892,577.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.