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Finding the Third Proportional to 393,328 and 844,004

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Solution

The third proportional to 393,328 and 844,004 is: 1,811,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,328 : 844,004 = 844,004 : x
  2. Step 2: Convert to fraction form
    393,328/844,004 = 844,004/x
  3. Step 3: Cross multiply
    393,328x = 844,004 × 844,004
  4. Step 4: Simplify right side
    393,328x = 712,342,752,016
  5. Step 5: Solve for x
    x = 712,342,752,016/393,328
  6. Step 6: Final answer
    x = 1,811,065.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.