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Finding the Third Proportional to 264,972 and 396,450

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Solution

The third proportional to 264,972 and 396,450 is: 593,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,972 : 396,450 = 396,450 : x
  2. Step 2: Convert to fraction form
    264,972/396,450 = 396,450/x
  3. Step 3: Cross multiply
    264,972x = 396,450 × 396,450
  4. Step 4: Simplify right side
    264,972x = 157,172,602,500
  5. Step 5: Solve for x
    x = 157,172,602,500/264,972
  6. Step 6: Final answer
    x = 593,166.83

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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.