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Finding the Third Proportional to 379,746 and 582,741

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Solution

The third proportional to 379,746 and 582,741 is: 894,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,746 : 582,741 = 582,741 : x
  2. Step 2: Convert to fraction form
    379,746/582,741 = 582,741/x
  3. Step 3: Cross multiply
    379,746x = 582,741 × 582,741
  4. Step 4: Simplify right side
    379,746x = 339,587,073,081
  5. Step 5: Solve for x
    x = 339,587,073,081/379,746
  6. Step 6: Final answer
    x = 894,247.93

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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.