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Finding the Third Proportional to 299,256 and 451,989

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Solution

The third proportional to 299,256 and 451,989 is: 682,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,256 : 451,989 = 451,989 : x
  2. Step 2: Convert to fraction form
    299,256/451,989 = 451,989/x
  3. Step 3: Cross multiply
    299,256x = 451,989 × 451,989
  4. Step 4: Simplify right side
    299,256x = 204,294,056,121
  5. Step 5: Solve for x
    x = 204,294,056,121/299,256
  6. Step 6: Final answer
    x = 682,673.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.