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Finding the Third Proportional to 496,622 and 768,823

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Solution

The third proportional to 496,622 and 768,823 is: 1,190,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,622 : 768,823 = 768,823 : x
  2. Step 2: Convert to fraction form
    496,622/768,823 = 768,823/x
  3. Step 3: Cross multiply
    496,622x = 768,823 × 768,823
  4. Step 4: Simplify right side
    496,622x = 591,088,805,329
  5. Step 5: Solve for x
    x = 591,088,805,329/496,622
  6. Step 6: Final answer
    x = 1,190,218.73

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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.