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Finding the Third Proportional to 380,244 and 836,088

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Solution

The third proportional to 380,244 and 836,088 is: 1,838,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,244 : 836,088 = 836,088 : x
  2. Step 2: Convert to fraction form
    380,244/836,088 = 836,088/x
  3. Step 3: Cross multiply
    380,244x = 836,088 × 836,088
  4. Step 4: Simplify right side
    380,244x = 699,043,143,744
  5. Step 5: Solve for x
    x = 699,043,143,744/380,244
  6. Step 6: Final answer
    x = 1,838,406.77

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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.