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Finding the Third Proportional to 233,328 and 511,852

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Solution

The third proportional to 233,328 and 511,852 is: 1,122,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,328 : 511,852 = 511,852 : x
  2. Step 2: Convert to fraction form
    233,328/511,852 = 511,852/x
  3. Step 3: Cross multiply
    233,328x = 511,852 × 511,852
  4. Step 4: Simplify right side
    233,328x = 261,992,469,904
  5. Step 5: Solve for x
    x = 261,992,469,904/233,328
  6. Step 6: Final answer
    x = 1,122,850.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.