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Finding the Third Proportional to 275,197 and 562,058

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Solution

The third proportional to 275,197 and 562,058 is: 1,147,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,197 : 562,058 = 562,058 : x
  2. Step 2: Convert to fraction form
    275,197/562,058 = 562,058/x
  3. Step 3: Cross multiply
    275,197x = 562,058 × 562,058
  4. Step 4: Simplify right side
    275,197x = 315,909,195,364
  5. Step 5: Solve for x
    x = 315,909,195,364/275,197
  6. Step 6: Final answer
    x = 1,147,938.37

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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.