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Finding the Third Proportional to 494,941.50 and 771,990.75

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Solution

The third proportional to 494,941.50 and 771,990.75 is: 1,204,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,941.50 : 771,990.75 = 771,990.75 : x
  2. Step 2: Convert to fraction form
    494,941.50/771,990.75 = 771,990.75/x
  3. Step 3: Cross multiply
    494,941.50x = 771,990.75 × 771,990.75
  4. Step 4: Simplify right side
    494,941.50x = 595,969,718,085.56
  5. Step 5: Solve for x
    x = 595,969,718,085.56/494,941.50
  6. Step 6: Final answer
    x = 1,204,121.53

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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.