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Finding the Third Proportional to 494,653.50 and 741,981

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Solution

The third proportional to 494,653.50 and 741,981 is: 1,112,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,653.50 : 741,981 = 741,981 : x
  2. Step 2: Convert to fraction form
    494,653.50/741,981 = 741,981/x
  3. Step 3: Cross multiply
    494,653.50x = 741,981 × 741,981
  4. Step 4: Simplify right side
    494,653.50x = 550,535,804,361
  5. Step 5: Solve for x
    x = 550,535,804,361/494,653.50
  6. Step 6: Final answer
    x = 1,112,972.63

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Why These Related Problems?

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