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Finding the Third Proportional to 494,869 and 746,912

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Solution

The third proportional to 494,869 and 746,912 is: 1,127,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,869 : 746,912 = 746,912 : x
  2. Step 2: Convert to fraction form
    494,869/746,912 = 746,912/x
  3. Step 3: Cross multiply
    494,869x = 746,912 × 746,912
  4. Step 4: Simplify right side
    494,869x = 557,877,535,744
  5. Step 5: Solve for x
    x = 557,877,535,744/494,869
  6. Step 6: Final answer
    x = 1,127,323.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.