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Finding the Third Proportional to 233,323 and 511,839

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Solution

The third proportional to 233,323 and 511,839 is: 1,122,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,323 : 511,839 = 511,839 : x
  2. Step 2: Convert to fraction form
    233,323/511,839 = 511,839/x
  3. Step 3: Cross multiply
    233,323x = 511,839 × 511,839
  4. Step 4: Simplify right side
    233,323x = 261,979,161,921
  5. Step 5: Solve for x
    x = 261,979,161,921/233,323
  6. Step 6: Final answer
    x = 1,122,817.56

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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.