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Finding the Third Proportional to 523,774 and 800,880

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Solution

The third proportional to 523,774 and 800,880 is: 1,224,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,774 : 800,880 = 800,880 : x
  2. Step 2: Convert to fraction form
    523,774/800,880 = 800,880/x
  3. Step 3: Cross multiply
    523,774x = 800,880 × 800,880
  4. Step 4: Simplify right side
    523,774x = 641,408,774,400
  5. Step 5: Solve for x
    x = 641,408,774,400/523,774
  6. Step 6: Final answer
    x = 1,224,590.71

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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.