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Finding the Third Proportional to 202,793 and 469,450

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Solution

The third proportional to 202,793 and 469,450 is: 1,086,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,793 : 469,450 = 469,450 : x
  2. Step 2: Convert to fraction form
    202,793/469,450 = 469,450/x
  3. Step 3: Cross multiply
    202,793x = 469,450 × 469,450
  4. Step 4: Simplify right side
    202,793x = 220,383,302,500
  5. Step 5: Solve for x
    x = 220,383,302,500/202,793
  6. Step 6: Final answer
    x = 1,086,740.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.