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Finding the Third Proportional to 259,206 and 539,094

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Solution

The third proportional to 259,206 and 539,094 is: 1,121,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,206 : 539,094 = 539,094 : x
  2. Step 2: Convert to fraction form
    259,206/539,094 = 539,094/x
  3. Step 3: Cross multiply
    259,206x = 539,094 × 539,094
  4. Step 4: Simplify right side
    259,206x = 290,622,340,836
  5. Step 5: Solve for x
    x = 290,622,340,836/259,206
  6. Step 6: Final answer
    x = 1,121,202.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.