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Finding the Third Proportional to 233,727 and 511,680

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Solution

The third proportional to 233,727 and 511,680 is: 1,120,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,727 : 511,680 = 511,680 : x
  2. Step 2: Convert to fraction form
    233,727/511,680 = 511,680/x
  3. Step 3: Cross multiply
    233,727x = 511,680 × 511,680
  4. Step 4: Simplify right side
    233,727x = 261,816,422,400
  5. Step 5: Solve for x
    x = 261,816,422,400/233,727
  6. Step 6: Final answer
    x = 1,120,180.48

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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.