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Finding the Third Proportional to 277,512 and 368,937

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Solution

The third proportional to 277,512 and 368,937 is: 490,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,512 : 368,937 = 368,937 : x
  2. Step 2: Convert to fraction form
    277,512/368,937 = 368,937/x
  3. Step 3: Cross multiply
    277,512x = 368,937 × 368,937
  4. Step 4: Simplify right side
    277,512x = 136,114,509,969
  5. Step 5: Solve for x
    x = 136,114,509,969/277,512
  6. Step 6: Final answer
    x = 490,481.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.