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Finding the Third Proportional to 382,668 and 835,275

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Solution

The third proportional to 382,668 and 835,275 is: 1,823,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,668 : 835,275 = 835,275 : x
  2. Step 2: Convert to fraction form
    382,668/835,275 = 835,275/x
  3. Step 3: Cross multiply
    382,668x = 835,275 × 835,275
  4. Step 4: Simplify right side
    382,668x = 697,684,325,625
  5. Step 5: Solve for x
    x = 697,684,325,625/382,668
  6. Step 6: Final answer
    x = 1,823,210.53

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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.