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Finding the Third Proportional to 267,264 and 410,974

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Solution

The third proportional to 267,264 and 410,974 is: 631,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,264 : 410,974 = 410,974 : x
  2. Step 2: Convert to fraction form
    267,264/410,974 = 410,974/x
  3. Step 3: Cross multiply
    267,264x = 410,974 × 410,974
  4. Step 4: Simplify right side
    267,264x = 168,899,628,676
  5. Step 5: Solve for x
    x = 168,899,628,676/267,264
  6. Step 6: Final answer
    x = 631,958.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.