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Finding the Third Proportional to 382,914.25 and 835,458.13

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Solution

The third proportional to 382,914.25 and 835,458.13 is: 1,822,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,914.25 : 835,458.13 = 835,458.13 : x
  2. Step 2: Convert to fraction form
    382,914.25/835,458.13 = 835,458.13/x
  3. Step 3: Cross multiply
    382,914.25x = 835,458.13 × 835,458.13
  4. Step 4: Simplify right side
    382,914.25x = 697,990,278,628.52
  5. Step 5: Solve for x
    x = 697,990,278,628.52/382,914.25
  6. Step 6: Final answer
    x = 1,822,837.04

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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.