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Finding the Third Proportional to 262,296 and 561,990

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Solution

The third proportional to 262,296 and 561,990 is: 1,204,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,296 : 561,990 = 561,990 : x
  2. Step 2: Convert to fraction form
    262,296/561,990 = 561,990/x
  3. Step 3: Cross multiply
    262,296x = 561,990 × 561,990
  4. Step 4: Simplify right side
    262,296x = 315,832,760,100
  5. Step 5: Solve for x
    x = 315,832,760,100/262,296
  6. Step 6: Final answer
    x = 1,204,108.18

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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.