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Finding the Third Proportional to 361,280 and 836,616

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Solution

The third proportional to 361,280 and 836,616 is: 1,937,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,280 : 836,616 = 836,616 : x
  2. Step 2: Convert to fraction form
    361,280/836,616 = 836,616/x
  3. Step 3: Cross multiply
    361,280x = 836,616 × 836,616
  4. Step 4: Simplify right side
    361,280x = 699,926,331,456
  5. Step 5: Solve for x
    x = 699,926,331,456/361,280
  6. Step 6: Final answer
    x = 1,937,351.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.