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Finding the Third Proportional to 523,678 and 800,741

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Solution

The third proportional to 523,678 and 800,741 is: 1,224,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,678 : 800,741 = 800,741 : x
  2. Step 2: Convert to fraction form
    523,678/800,741 = 800,741/x
  3. Step 3: Cross multiply
    523,678x = 800,741 × 800,741
  4. Step 4: Simplify right side
    523,678x = 641,186,149,081
  5. Step 5: Solve for x
    x = 641,186,149,081/523,678
  6. Step 6: Final answer
    x = 1,224,390.08

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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.