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Finding the Third Proportional to 277,108 and 596,600

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Solution

The third proportional to 277,108 and 596,600 is: 1,284,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,108 : 596,600 = 596,600 : x
  2. Step 2: Convert to fraction form
    277,108/596,600 = 596,600/x
  3. Step 3: Cross multiply
    277,108x = 596,600 × 596,600
  4. Step 4: Simplify right side
    277,108x = 355,931,560,000
  5. Step 5: Solve for x
    x = 355,931,560,000/277,108
  6. Step 6: Final answer
    x = 1,284,450.68

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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.