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Finding the Third Proportional to 235,827 and 511,524

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Solution

The third proportional to 235,827 and 511,524 is: 1,109,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,827 : 511,524 = 511,524 : x
  2. Step 2: Convert to fraction form
    235,827/511,524 = 511,524/x
  3. Step 3: Cross multiply
    235,827x = 511,524 × 511,524
  4. Step 4: Simplify right side
    235,827x = 261,656,802,576
  5. Step 5: Solve for x
    x = 261,656,802,576/235,827
  6. Step 6: Final answer
    x = 1,109,528.61

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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.