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Finding the Third Proportional to 264,966 and 396,441

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Solution

The third proportional to 264,966 and 396,441 is: 593,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,966 : 396,441 = 396,441 : x
  2. Step 2: Convert to fraction form
    264,966/396,441 = 396,441/x
  3. Step 3: Cross multiply
    264,966x = 396,441 × 396,441
  4. Step 4: Simplify right side
    264,966x = 157,165,466,481
  5. Step 5: Solve for x
    x = 157,165,466,481/264,966
  6. Step 6: Final answer
    x = 593,153.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.