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Finding the Third Proportional to 380,974 and 836,684

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Solution

The third proportional to 380,974 and 836,684 is: 1,837,501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,974 : 836,684 = 836,684 : x
  2. Step 2: Convert to fraction form
    380,974/836,684 = 836,684/x
  3. Step 3: Cross multiply
    380,974x = 836,684 × 836,684
  4. Step 4: Simplify right side
    380,974x = 700,040,115,856
  5. Step 5: Solve for x
    x = 700,040,115,856/380,974
  6. Step 6: Final answer
    x = 1,837,501.03

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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.