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Finding the Third Proportional to 273,108 and 559,336

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Solution

The third proportional to 273,108 and 559,336 is: 1,145,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,108 : 559,336 = 559,336 : x
  2. Step 2: Convert to fraction form
    273,108/559,336 = 559,336/x
  3. Step 3: Cross multiply
    273,108x = 559,336 × 559,336
  4. Step 4: Simplify right side
    273,108x = 312,856,760,896
  5. Step 5: Solve for x
    x = 312,856,760,896/273,108
  6. Step 6: Final answer
    x = 1,145,542.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.