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Finding the Third Proportional to 267,893 and 364,818

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Solution

The third proportional to 267,893 and 364,818 is: 496,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,893 : 364,818 = 364,818 : x
  2. Step 2: Convert to fraction form
    267,893/364,818 = 364,818/x
  3. Step 3: Cross multiply
    267,893x = 364,818 × 364,818
  4. Step 4: Simplify right side
    267,893x = 133,092,173,124
  5. Step 5: Solve for x
    x = 133,092,173,124/267,893
  6. Step 6: Final answer
    x = 496,810.94

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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.