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Finding the Third Proportional to 277,512 and 597,108

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Solution

The third proportional to 277,512 and 597,108 is: 1,284,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,512 : 597,108 = 597,108 : x
  2. Step 2: Convert to fraction form
    277,512/597,108 = 597,108/x
  3. Step 3: Cross multiply
    277,512x = 597,108 × 597,108
  4. Step 4: Simplify right side
    277,512x = 356,537,963,664
  5. Step 5: Solve for x
    x = 356,537,963,664/277,512
  6. Step 6: Final answer
    x = 1,284,765.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.