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Finding the Third Proportional to 275,199 and 562,062

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Solution

The third proportional to 275,199 and 562,062 is: 1,147,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,199 : 562,062 = 562,062 : x
  2. Step 2: Convert to fraction form
    275,199/562,062 = 562,062/x
  3. Step 3: Cross multiply
    275,199x = 562,062 × 562,062
  4. Step 4: Simplify right side
    275,199x = 315,913,691,844
  5. Step 5: Solve for x
    x = 315,913,691,844/275,199
  6. Step 6: Final answer
    x = 1,147,946.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.