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Finding the Third Proportional to 273,829 and 599,191

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Solution

The third proportional to 273,829 and 599,191 is: 1,311,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,829 : 599,191 = 599,191 : x
  2. Step 2: Convert to fraction form
    273,829/599,191 = 599,191/x
  3. Step 3: Cross multiply
    273,829x = 599,191 × 599,191
  4. Step 4: Simplify right side
    273,829x = 359,029,854,481
  5. Step 5: Solve for x
    x = 359,029,854,481/273,829
  6. Step 6: Final answer
    x = 1,311,146.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.