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Finding the Third Proportional to 494,839.13 and 771,803.44

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Solution

The third proportional to 494,839.13 and 771,803.44 is: 1,203,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,839.13 : 771,803.44 = 771,803.44 : x
  2. Step 2: Convert to fraction form
    494,839.13/771,803.44 = 771,803.44/x
  3. Step 3: Cross multiply
    494,839.13x = 771,803.44 × 771,803.44
  4. Step 4: Simplify right side
    494,839.13x = 595,680,546,136.82
  5. Step 5: Solve for x
    x = 595,680,546,136.82/494,839.13
  6. Step 6: Final answer
    x = 1,203,786.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.