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Finding the Third Proportional to 267,946 and 363,915

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Solution

The third proportional to 267,946 and 363,915 is: 494,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,946 : 363,915 = 363,915 : x
  2. Step 2: Convert to fraction form
    267,946/363,915 = 363,915/x
  3. Step 3: Cross multiply
    267,946x = 363,915 × 363,915
  4. Step 4: Simplify right side
    267,946x = 132,434,127,225
  5. Step 5: Solve for x
    x = 132,434,127,225/267,946
  6. Step 6: Final answer
    x = 494,256.78

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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.