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Finding the Third Proportional to 382,683 and 835,314

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Solution

The third proportional to 382,683 and 835,314 is: 1,823,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,683 : 835,314 = 835,314 : x
  2. Step 2: Convert to fraction form
    382,683/835,314 = 835,314/x
  3. Step 3: Cross multiply
    382,683x = 835,314 × 835,314
  4. Step 4: Simplify right side
    382,683x = 697,749,478,596
  5. Step 5: Solve for x
    x = 697,749,478,596/382,683
  6. Step 6: Final answer
    x = 1,823,309.32

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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.