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Finding the Third Proportional to 382,664.25 and 835,266.94

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Solution

The third proportional to 382,664.25 and 835,266.94 is: 1,823,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,664.25 : 835,266.94 = 835,266.94 : x
  2. Step 2: Convert to fraction form
    382,664.25/835,266.94 = 835,266.94/x
  3. Step 3: Cross multiply
    382,664.25x = 835,266.94 × 835,266.94
  4. Step 4: Simplify right side
    382,664.25x = 697,670,856,880.63
  5. Step 5: Solve for x
    x = 697,670,856,880.63/382,664.25
  6. Step 6: Final answer
    x = 1,823,193.20

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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.