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Finding the Third Proportional to 367,982 and 548,085

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Solution

The third proportional to 367,982 and 548,085 is: 816,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,982 : 548,085 = 548,085 : x
  2. Step 2: Convert to fraction form
    367,982/548,085 = 548,085/x
  3. Step 3: Cross multiply
    367,982x = 548,085 × 548,085
  4. Step 4: Simplify right side
    367,982x = 300,397,167,225
  5. Step 5: Solve for x
    x = 300,397,167,225/367,982
  6. Step 6: Final answer
    x = 816,336.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.