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Finding the Third Proportional to 277,296 and 601,824

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Solution

The third proportional to 277,296 and 601,824 is: 1,306,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,296 : 601,824 = 601,824 : x
  2. Step 2: Convert to fraction form
    277,296/601,824 = 601,824/x
  3. Step 3: Cross multiply
    277,296x = 601,824 × 601,824
  4. Step 4: Simplify right side
    277,296x = 362,192,126,976
  5. Step 5: Solve for x
    x = 362,192,126,976/277,296
  6. Step 6: Final answer
    x = 1,306,157.06

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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.