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Finding the Third Proportional to 382,704 and 835,356

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Solution

The third proportional to 382,704 and 835,356 is: 1,823,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,704 : 835,356 = 835,356 : x
  2. Step 2: Convert to fraction form
    382,704/835,356 = 835,356/x
  3. Step 3: Cross multiply
    382,704x = 835,356 × 835,356
  4. Step 4: Simplify right side
    382,704x = 697,819,646,736
  5. Step 5: Solve for x
    x = 697,819,646,736/382,704
  6. Step 6: Final answer
    x = 1,823,392.61

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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.