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Finding the Third Proportional to 523,896 and 800,876

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Solution

The third proportional to 523,896 and 800,876 is: 1,224,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,896 : 800,876 = 800,876 : x
  2. Step 2: Convert to fraction form
    523,896/800,876 = 800,876/x
  3. Step 3: Cross multiply
    523,896x = 800,876 × 800,876
  4. Step 4: Simplify right side
    523,896x = 641,402,367,376
  5. Step 5: Solve for x
    x = 641,402,367,376/523,896
  6. Step 6: Final answer
    x = 1,224,293.31

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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.