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Finding the Third Proportional to 267,096 and 415,962

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Solution

The third proportional to 267,096 and 415,962 is: 647,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,096 : 415,962 = 415,962 : x
  2. Step 2: Convert to fraction form
    267,096/415,962 = 415,962/x
  3. Step 3: Cross multiply
    267,096x = 415,962 × 415,962
  4. Step 4: Simplify right side
    267,096x = 173,024,385,444
  5. Step 5: Solve for x
    x = 173,024,385,444/267,096
  6. Step 6: Final answer
    x = 647,798.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.