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Finding the Third Proportional to 523,676 and 800,738

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Solution

The third proportional to 523,676 and 800,738 is: 1,224,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,676 : 800,738 = 800,738 : x
  2. Step 2: Convert to fraction form
    523,676/800,738 = 800,738/x
  3. Step 3: Cross multiply
    523,676x = 800,738 × 800,738
  4. Step 4: Simplify right side
    523,676x = 641,181,344,644
  5. Step 5: Solve for x
    x = 641,181,344,644/523,676
  6. Step 6: Final answer
    x = 1,224,385.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.