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Finding the Third Proportional to 267,924 and 364,868

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Solution

The third proportional to 267,924 and 364,868 is: 496,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,924 : 364,868 = 364,868 : x
  2. Step 2: Convert to fraction form
    267,924/364,868 = 364,868/x
  3. Step 3: Cross multiply
    267,924x = 364,868 × 364,868
  4. Step 4: Simplify right side
    267,924x = 133,128,657,424
  5. Step 5: Solve for x
    x = 133,128,657,424/267,924
  6. Step 6: Final answer
    x = 496,889.63

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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.