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Finding the Third Proportional to 389,256 and 836,710

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Solution

The third proportional to 389,256 and 836,710 is: 1,798,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,256 : 836,710 = 836,710 : x
  2. Step 2: Convert to fraction form
    389,256/836,710 = 836,710/x
  3. Step 3: Cross multiply
    389,256x = 836,710 × 836,710
  4. Step 4: Simplify right side
    389,256x = 700,083,624,100
  5. Step 5: Solve for x
    x = 700,083,624,100/389,256
  6. Step 6: Final answer
    x = 1,798,517.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.