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Finding the Third Proportional to 267,668 and 573,974

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Solution

The third proportional to 267,668 and 573,974 is: 1,230,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,668 : 573,974 = 573,974 : x
  2. Step 2: Convert to fraction form
    267,668/573,974 = 573,974/x
  3. Step 3: Cross multiply
    267,668x = 573,974 × 573,974
  4. Step 4: Simplify right side
    267,668x = 329,446,152,676
  5. Step 5: Solve for x
    x = 329,446,152,676/267,668
  6. Step 6: Final answer
    x = 1,230,801.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.