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Finding the Third Proportional to 283,267 and 427,093

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Solution

The third proportional to 283,267 and 427,093 is: 643,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,267 : 427,093 = 427,093 : x
  2. Step 2: Convert to fraction form
    283,267/427,093 = 427,093/x
  3. Step 3: Cross multiply
    283,267x = 427,093 × 427,093
  4. Step 4: Simplify right side
    283,267x = 182,408,430,649
  5. Step 5: Solve for x
    x = 182,408,430,649/283,267
  6. Step 6: Final answer
    x = 643,945.22

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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.