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Finding the Third Proportional to 383,266 and 806,224

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Solution

The third proportional to 383,266 and 806,224 is: 1,695,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,266 : 806,224 = 806,224 : x
  2. Step 2: Convert to fraction form
    383,266/806,224 = 806,224/x
  3. Step 3: Cross multiply
    383,266x = 806,224 × 806,224
  4. Step 4: Simplify right side
    383,266x = 649,997,138,176
  5. Step 5: Solve for x
    x = 649,997,138,176/383,266
  6. Step 6: Final answer
    x = 1,695,942.60

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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.