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Finding the Third Proportional to 236,387 and 505,993

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Solution

The third proportional to 236,387 and 505,993 is: 1,083,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,387 : 505,993 = 505,993 : x
  2. Step 2: Convert to fraction form
    236,387/505,993 = 505,993/x
  3. Step 3: Cross multiply
    236,387x = 505,993 × 505,993
  4. Step 4: Simplify right side
    236,387x = 256,028,916,049
  5. Step 5: Solve for x
    x = 256,028,916,049/236,387
  6. Step 6: Final answer
    x = 1,083,092.20

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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.