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Finding the Third Proportional to 273,121 and 568,042

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Solution

The third proportional to 273,121 and 568,042 is: 1,181,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,121 : 568,042 = 568,042 : x
  2. Step 2: Convert to fraction form
    273,121/568,042 = 568,042/x
  3. Step 3: Cross multiply
    273,121x = 568,042 × 568,042
  4. Step 4: Simplify right side
    273,121x = 322,671,713,764
  5. Step 5: Solve for x
    x = 322,671,713,764/273,121
  6. Step 6: Final answer
    x = 1,181,424.03

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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.