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Finding the Third Proportional to 389,284 and 836,767

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Solution

The third proportional to 389,284 and 836,767 is: 1,798,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,284 : 836,767 = 836,767 : x
  2. Step 2: Convert to fraction form
    389,284/836,767 = 836,767/x
  3. Step 3: Cross multiply
    389,284x = 836,767 × 836,767
  4. Step 4: Simplify right side
    389,284x = 700,179,012,289
  5. Step 5: Solve for x
    x = 700,179,012,289/389,284
  6. Step 6: Final answer
    x = 1,798,632.91

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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.