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Finding the Third Proportional to 247,954 and 508,976

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Solution

The third proportional to 247,954 and 508,976 is: 1,044,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,954 : 508,976 = 508,976 : x
  2. Step 2: Convert to fraction form
    247,954/508,976 = 508,976/x
  3. Step 3: Cross multiply
    247,954x = 508,976 × 508,976
  4. Step 4: Simplify right side
    247,954x = 259,056,568,576
  5. Step 5: Solve for x
    x = 259,056,568,576/247,954
  6. Step 6: Final answer
    x = 1,044,776.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.