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Finding the Third Proportional to 269,412.75 and 422,627.63

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Solution

The third proportional to 269,412.75 and 422,627.63 is: 662,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,412.75 : 422,627.63 = 422,627.63 : x
  2. Step 2: Convert to fraction form
    269,412.75/422,627.63 = 422,627.63/x
  3. Step 3: Cross multiply
    269,412.75x = 422,627.63 × 422,627.63
  4. Step 4: Simplify right side
    269,412.75x = 178,614,109,413.14
  5. Step 5: Solve for x
    x = 178,614,109,413.14/269,412.75
  6. Step 6: Final answer
    x = 662,975.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.