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Finding the Third Proportional to 494.63 and 768.94

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Solution

The third proportional to 494.63 and 768.94 is: 1,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.63 : 768.94 = 768.94 : x
  2. Step 2: Convert to fraction form
    494.63/768.94 = 768.94/x
  3. Step 3: Cross multiply
    494.63x = 768.94 × 768.94
  4. Step 4: Simplify right side
    494.63x = 591,264.88
  5. Step 5: Solve for x
    x = 591,264.88/494.63
  6. Step 6: Final answer
    x = 1,195.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.