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Finding the Third Proportional to 274,236 and 600,936

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Solution

The third proportional to 274,236 and 600,936 is: 1,316,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,236 : 600,936 = 600,936 : x
  2. Step 2: Convert to fraction form
    274,236/600,936 = 600,936/x
  3. Step 3: Cross multiply
    274,236x = 600,936 × 600,936
  4. Step 4: Simplify right side
    274,236x = 361,124,076,096
  5. Step 5: Solve for x
    x = 361,124,076,096/274,236
  6. Step 6: Final answer
    x = 1,316,836.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.