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Finding the Third Proportional to 277,969 and 606,912

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Solution

The third proportional to 277,969 and 606,912 is: 1,325,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,969 : 606,912 = 606,912 : x
  2. Step 2: Convert to fraction form
    277,969/606,912 = 606,912/x
  3. Step 3: Cross multiply
    277,969x = 606,912 × 606,912
  4. Step 4: Simplify right side
    277,969x = 368,342,175,744
  5. Step 5: Solve for x
    x = 368,342,175,744/277,969
  6. Step 6: Final answer
    x = 1,325,119.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.