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Finding the Third Proportional to 282,702 and 396,204

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Solution

The third proportional to 282,702 and 396,204 is: 555,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,702 : 396,204 = 396,204 : x
  2. Step 2: Convert to fraction form
    282,702/396,204 = 396,204/x
  3. Step 3: Cross multiply
    282,702x = 396,204 × 396,204
  4. Step 4: Simplify right side
    282,702x = 156,977,609,616
  5. Step 5: Solve for x
    x = 156,977,609,616/282,702
  6. Step 6: Final answer
    x = 555,275.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.