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Finding the Third Proportional to 235,953 and 511,272

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Solution

The third proportional to 235,953 and 511,272 is: 1,107,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,953 : 511,272 = 511,272 : x
  2. Step 2: Convert to fraction form
    235,953/511,272 = 511,272/x
  3. Step 3: Cross multiply
    235,953x = 511,272 × 511,272
  4. Step 4: Simplify right side
    235,953x = 261,399,057,984
  5. Step 5: Solve for x
    x = 261,399,057,984/235,953
  6. Step 6: Final answer
    x = 1,107,843.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.