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Finding the Third Proportional to 383,270 and 806,266

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Solution

The third proportional to 383,270 and 806,266 is: 1,696,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,270 : 806,266 = 806,266 : x
  2. Step 2: Convert to fraction form
    383,270/806,266 = 806,266/x
  3. Step 3: Cross multiply
    383,270x = 806,266 × 806,266
  4. Step 4: Simplify right side
    383,270x = 650,064,862,756
  5. Step 5: Solve for x
    x = 650,064,862,756/383,270
  6. Step 6: Final answer
    x = 1,696,101.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.