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Finding the Third Proportional to 371,619 and 814,234

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Solution

The third proportional to 371,619 and 814,234 is: 1,784,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,619 : 814,234 = 814,234 : x
  2. Step 2: Convert to fraction form
    371,619/814,234 = 814,234/x
  3. Step 3: Cross multiply
    371,619x = 814,234 × 814,234
  4. Step 4: Simplify right side
    371,619x = 662,977,006,756
  5. Step 5: Solve for x
    x = 662,977,006,756/371,619
  6. Step 6: Final answer
    x = 1,784,023.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.