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Finding the Third Proportional to 384,210 and 827,604

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Solution

The third proportional to 384,210 and 827,604 is: 1,782,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,210 : 827,604 = 827,604 : x
  2. Step 2: Convert to fraction form
    384,210/827,604 = 827,604/x
  3. Step 3: Cross multiply
    384,210x = 827,604 × 827,604
  4. Step 4: Simplify right side
    384,210x = 684,928,380,816
  5. Step 5: Solve for x
    x = 684,928,380,816/384,210
  6. Step 6: Final answer
    x = 1,782,692.75

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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.