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Finding the Third Proportional to 379,714 and 835,214

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Solution

The third proportional to 379,714 and 835,214 is: 1,837,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,714 : 835,214 = 835,214 : x
  2. Step 2: Convert to fraction form
    379,714/835,214 = 835,214/x
  3. Step 3: Cross multiply
    379,714x = 835,214 × 835,214
  4. Step 4: Simplify right side
    379,714x = 697,582,425,796
  5. Step 5: Solve for x
    x = 697,582,425,796/379,714
  6. Step 6: Final answer
    x = 1,837,125.90

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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.