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Finding the Third Proportional to 379,696 and 835,184

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Solution

The third proportional to 379,696 and 835,184 is: 1,837,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,696 : 835,184 = 835,184 : x
  2. Step 2: Convert to fraction form
    379,696/835,184 = 835,184/x
  3. Step 3: Cross multiply
    379,696x = 835,184 × 835,184
  4. Step 4: Simplify right side
    379,696x = 697,532,313,856
  5. Step 5: Solve for x
    x = 697,532,313,856/379,696
  6. Step 6: Final answer
    x = 1,837,081.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.