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Finding the Third Proportional to 275,936 and 591,236

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Solution

The third proportional to 275,936 and 591,236 is: 1,266,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,936 : 591,236 = 591,236 : x
  2. Step 2: Convert to fraction form
    275,936/591,236 = 591,236/x
  3. Step 3: Cross multiply
    275,936x = 591,236 × 591,236
  4. Step 4: Simplify right side
    275,936x = 349,560,007,696
  5. Step 5: Solve for x
    x = 349,560,007,696/275,936
  6. Step 6: Final answer
    x = 1,266,815.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.