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Finding the Third Proportional to 264,914 and 396,330

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Solution

The third proportional to 264,914 and 396,330 is: 592,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,914 : 396,330 = 396,330 : x
  2. Step 2: Convert to fraction form
    264,914/396,330 = 396,330/x
  3. Step 3: Cross multiply
    264,914x = 396,330 × 396,330
  4. Step 4: Simplify right side
    264,914x = 157,077,468,900
  5. Step 5: Solve for x
    x = 157,077,468,900/264,914
  6. Step 6: Final answer
    x = 592,937.59

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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.