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Finding the Third Proportional to 269,847 and 396,022.50

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Solution

The third proportional to 269,847 and 396,022.50 is: 581,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,847 : 396,022.50 = 396,022.50 : x
  2. Step 2: Convert to fraction form
    269,847/396,022.50 = 396,022.50/x
  3. Step 3: Cross multiply
    269,847x = 396,022.50 × 396,022.50
  4. Step 4: Simplify right side
    269,847x = 156,833,820,506.25
  5. Step 5: Solve for x
    x = 156,833,820,506.25/269,847
  6. Step 6: Final answer
    x = 581,195.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.