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Finding the Third Proportional to 230,792 and 511,680

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Solution

The third proportional to 230,792 and 511,680 is: 1,134,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,792 : 511,680 = 511,680 : x
  2. Step 2: Convert to fraction form
    230,792/511,680 = 511,680/x
  3. Step 3: Cross multiply
    230,792x = 511,680 × 511,680
  4. Step 4: Simplify right side
    230,792x = 261,816,422,400
  5. Step 5: Solve for x
    x = 261,816,422,400/230,792
  6. Step 6: Final answer
    x = 1,134,425.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.