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Finding the Third Proportional to 267,790 and 380,706

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Solution

The third proportional to 267,790 and 380,706 is: 541,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,790 : 380,706 = 380,706 : x
  2. Step 2: Convert to fraction form
    267,790/380,706 = 380,706/x
  3. Step 3: Cross multiply
    267,790x = 380,706 × 380,706
  4. Step 4: Simplify right side
    267,790x = 144,937,058,436
  5. Step 5: Solve for x
    x = 144,937,058,436/267,790
  6. Step 6: Final answer
    x = 541,234.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.