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Finding the Third Proportional to 449,744 and 683,825

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Solution

The third proportional to 449,744 and 683,825 is: 1,039,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,744 : 683,825 = 683,825 : x
  2. Step 2: Convert to fraction form
    449,744/683,825 = 683,825/x
  3. Step 3: Cross multiply
    449,744x = 683,825 × 683,825
  4. Step 4: Simplify right side
    449,744x = 467,616,630,625
  5. Step 5: Solve for x
    x = 467,616,630,625/449,744
  6. Step 6: Final answer
    x = 1,039,739.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.