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Finding the Third Proportional to 379,600 and 582,083

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Solution

The third proportional to 379,600 and 582,083 is: 892,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,600 : 582,083 = 582,083 : x
  2. Step 2: Convert to fraction form
    379,600/582,083 = 582,083/x
  3. Step 3: Cross multiply
    379,600x = 582,083 × 582,083
  4. Step 4: Simplify right side
    379,600x = 338,820,618,889
  5. Step 5: Solve for x
    x = 338,820,618,889/379,600
  6. Step 6: Final answer
    x = 892,572.76

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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.