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Finding the Third Proportional to 376,337 and 814,015

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Solution

The third proportional to 376,337 and 814,015 is: 1,760,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,337 : 814,015 = 814,015 : x
  2. Step 2: Convert to fraction form
    376,337/814,015 = 814,015/x
  3. Step 3: Cross multiply
    376,337x = 814,015 × 814,015
  4. Step 4: Simplify right side
    376,337x = 662,620,420,225
  5. Step 5: Solve for x
    x = 662,620,420,225/376,337
  6. Step 6: Final answer
    x = 1,760,710.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.