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Finding the Third Proportional to 259,346 and 394,349

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Solution

The third proportional to 259,346 and 394,349 is: 599,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,346 : 394,349 = 394,349 : x
  2. Step 2: Convert to fraction form
    259,346/394,349 = 394,349/x
  3. Step 3: Cross multiply
    259,346x = 394,349 × 394,349
  4. Step 4: Simplify right side
    259,346x = 155,511,133,801
  5. Step 5: Solve for x
    x = 155,511,133,801/259,346
  6. Step 6: Final answer
    x = 599,628.04

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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.