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Finding the Third Proportional to 494,638 and 741,630

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Solution

The third proportional to 494,638 and 741,630 is: 1,111,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,638 : 741,630 = 741,630 : x
  2. Step 2: Convert to fraction form
    494,638/741,630 = 741,630/x
  3. Step 3: Cross multiply
    494,638x = 741,630 × 741,630
  4. Step 4: Simplify right side
    494,638x = 550,015,056,900
  5. Step 5: Solve for x
    x = 550,015,056,900/494,638
  6. Step 6: Final answer
    x = 1,111,954.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.