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Finding the Third Proportional to 494,512 and 741,768

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Solution

The third proportional to 494,512 and 741,768 is: 1,112,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,512 : 741,768 = 741,768 : x
  2. Step 2: Convert to fraction form
    494,512/741,768 = 741,768/x
  3. Step 3: Cross multiply
    494,512x = 741,768 × 741,768
  4. Step 4: Simplify right side
    494,512x = 550,219,765,824
  5. Step 5: Solve for x
    x = 550,219,765,824/494,512
  6. Step 6: Final answer
    x = 1,112,652

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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.