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Finding the Third Proportional to 380,780 and 836,300

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Solution

The third proportional to 380,780 and 836,300 is: 1,836,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,780 : 836,300 = 836,300 : x
  2. Step 2: Convert to fraction form
    380,780/836,300 = 836,300/x
  3. Step 3: Cross multiply
    380,780x = 836,300 × 836,300
  4. Step 4: Simplify right side
    380,780x = 699,397,690,000
  5. Step 5: Solve for x
    x = 699,397,690,000/380,780
  6. Step 6: Final answer
    x = 1,836,750.07

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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.