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Finding the Third Proportional to 259,348 and 394,352

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Solution

The third proportional to 259,348 and 394,352 is: 599,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,348 : 394,352 = 394,352 : x
  2. Step 2: Convert to fraction form
    259,348/394,352 = 394,352/x
  3. Step 3: Cross multiply
    259,348x = 394,352 × 394,352
  4. Step 4: Simplify right side
    259,348x = 155,513,499,904
  5. Step 5: Solve for x
    x = 155,513,499,904/259,348
  6. Step 6: Final answer
    x = 599,632.54

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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.