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Finding the Third Proportional to 267,876 and 563,336

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Solution

The third proportional to 267,876 and 563,336 is: 1,184,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,876 : 563,336 = 563,336 : x
  2. Step 2: Convert to fraction form
    267,876/563,336 = 563,336/x
  3. Step 3: Cross multiply
    267,876x = 563,336 × 563,336
  4. Step 4: Simplify right side
    267,876x = 317,347,448,896
  5. Step 5: Solve for x
    x = 317,347,448,896/267,876
  6. Step 6: Final answer
    x = 1,184,680.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.