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Finding the Third Proportional to 255,993 and 551,232

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Solution

The third proportional to 255,993 and 551,232 is: 1,186,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,993 : 551,232 = 551,232 : x
  2. Step 2: Convert to fraction form
    255,993/551,232 = 551,232/x
  3. Step 3: Cross multiply
    255,993x = 551,232 × 551,232
  4. Step 4: Simplify right side
    255,993x = 303,856,717,824
  5. Step 5: Solve for x
    x = 303,856,717,824/255,993
  6. Step 6: Final answer
    x = 1,186,972.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.