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Finding the Third Proportional to 395,168 and 835,264

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Solution

The third proportional to 395,168 and 835,264 is: 1,765,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,168 : 835,264 = 835,264 : x
  2. Step 2: Convert to fraction form
    395,168/835,264 = 835,264/x
  3. Step 3: Cross multiply
    395,168x = 835,264 × 835,264
  4. Step 4: Simplify right side
    395,168x = 697,665,949,696
  5. Step 5: Solve for x
    x = 697,665,949,696/395,168
  6. Step 6: Final answer
    x = 1,765,492.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.