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Finding the Third Proportional to 259,344 and 394,346

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Solution

The third proportional to 259,344 and 394,346 is: 599,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,344 : 394,346 = 394,346 : x
  2. Step 2: Convert to fraction form
    259,344/394,346 = 394,346/x
  3. Step 3: Cross multiply
    259,344x = 394,346 × 394,346
  4. Step 4: Simplify right side
    259,344x = 155,508,767,716
  5. Step 5: Solve for x
    x = 155,508,767,716/259,344
  6. Step 6: Final answer
    x = 599,623.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.