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Finding the Third Proportional to 277,183 and 587,084

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Solution

The third proportional to 277,183 and 587,084 is: 1,243,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,183 : 587,084 = 587,084 : x
  2. Step 2: Convert to fraction form
    277,183/587,084 = 587,084/x
  3. Step 3: Cross multiply
    277,183x = 587,084 × 587,084
  4. Step 4: Simplify right side
    277,183x = 344,667,623,056
  5. Step 5: Solve for x
    x = 344,667,623,056/277,183
  6. Step 6: Final answer
    x = 1,243,465.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.