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Finding the Third Proportional to 267,852 and 363,777

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Solution

The third proportional to 267,852 and 363,777 is: 494,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,852 : 363,777 = 363,777 : x
  2. Step 2: Convert to fraction form
    267,852/363,777 = 363,777/x
  3. Step 3: Cross multiply
    267,852x = 363,777 × 363,777
  4. Step 4: Simplify right side
    267,852x = 132,333,705,729
  5. Step 5: Solve for x
    x = 132,333,705,729/267,852
  6. Step 6: Final answer
    x = 494,055.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.