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Finding the Third Proportional to 395,880 and 805,794

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Solution

The third proportional to 395,880 and 805,794 is: 1,640,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,880 : 805,794 = 805,794 : x
  2. Step 2: Convert to fraction form
    395,880/805,794 = 805,794/x
  3. Step 3: Cross multiply
    395,880x = 805,794 × 805,794
  4. Step 4: Simplify right side
    395,880x = 649,303,970,436
  5. Step 5: Solve for x
    x = 649,303,970,436/395,880
  6. Step 6: Final answer
    x = 1,640,153.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.