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Finding the Third Proportional to 264,906 and 396,318

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Solution

The third proportional to 264,906 and 396,318 is: 592,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906 : 396,318 = 396,318 : x
  2. Step 2: Convert to fraction form
    264,906/396,318 = 396,318/x
  3. Step 3: Cross multiply
    264,906x = 396,318 × 396,318
  4. Step 4: Simplify right side
    264,906x = 157,067,957,124
  5. Step 5: Solve for x
    x = 157,067,957,124/264,906
  6. Step 6: Final answer
    x = 592,919.59

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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.