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Finding the Third Proportional to 393,828 and 863,904

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Solution

The third proportional to 393,828 and 863,904 is: 1,895,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,828 : 863,904 = 863,904 : x
  2. Step 2: Convert to fraction form
    393,828/863,904 = 863,904/x
  3. Step 3: Cross multiply
    393,828x = 863,904 × 863,904
  4. Step 4: Simplify right side
    393,828x = 746,330,121,216
  5. Step 5: Solve for x
    x = 746,330,121,216/393,828
  6. Step 6: Final answer
    x = 1,895,066.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.