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Finding the Third Proportional to 384,780 and 835,266

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Solution

The third proportional to 384,780 and 835,266 is: 1,813,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,780 : 835,266 = 835,266 : x
  2. Step 2: Convert to fraction form
    384,780/835,266 = 835,266/x
  3. Step 3: Cross multiply
    384,780x = 835,266 × 835,266
  4. Step 4: Simplify right side
    384,780x = 697,669,290,756
  5. Step 5: Solve for x
    x = 697,669,290,756/384,780
  6. Step 6: Final answer
    x = 1,813,164.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.