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Finding the Third Proportional to 380,806 and 836,345

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Solution

The third proportional to 380,806 and 836,345 is: 1,836,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,806 : 836,345 = 836,345 : x
  2. Step 2: Convert to fraction form
    380,806/836,345 = 836,345/x
  3. Step 3: Cross multiply
    380,806x = 836,345 × 836,345
  4. Step 4: Simplify right side
    380,806x = 699,472,959,025
  5. Step 5: Solve for x
    x = 699,472,959,025/380,806
  6. Step 6: Final answer
    x = 1,836,822.32

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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.