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Finding the Third Proportional to 277,108 and 595,655

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Solution

The third proportional to 277,108 and 595,655 is: 1,280,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,108 : 595,655 = 595,655 : x
  2. Step 2: Convert to fraction form
    277,108/595,655 = 595,655/x
  3. Step 3: Cross multiply
    277,108x = 595,655 × 595,655
  4. Step 4: Simplify right side
    277,108x = 354,804,879,025
  5. Step 5: Solve for x
    x = 354,804,879,025/277,108
  6. Step 6: Final answer
    x = 1,280,384.83

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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.