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Finding the Third Proportional to 277,100 and 596,584

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Solution

The third proportional to 277,100 and 596,584 is: 1,284,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,100 : 596,584 = 596,584 : x
  2. Step 2: Convert to fraction form
    277,100/596,584 = 596,584/x
  3. Step 3: Cross multiply
    277,100x = 596,584 × 596,584
  4. Step 4: Simplify right side
    277,100x = 355,912,469,056
  5. Step 5: Solve for x
    x = 355,912,469,056/277,100
  6. Step 6: Final answer
    x = 1,284,418.87

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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.