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Finding the Third Proportional to 367,544 and 800,720

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Solution

The third proportional to 367,544 and 800,720 is: 1,744,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,544 : 800,720 = 800,720 : x
  2. Step 2: Convert to fraction form
    367,544/800,720 = 800,720/x
  3. Step 3: Cross multiply
    367,544x = 800,720 × 800,720
  4. Step 4: Simplify right side
    367,544x = 641,152,518,400
  5. Step 5: Solve for x
    x = 641,152,518,400/367,544
  6. Step 6: Final answer
    x = 1,744,423.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.