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Finding the Third Proportional to 341,996 and 511,080

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Solution

The third proportional to 341,996 and 511,080 is: 763,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996 : 511,080 = 511,080 : x
  2. Step 2: Convert to fraction form
    341,996/511,080 = 511,080/x
  3. Step 3: Cross multiply
    341,996x = 511,080 × 511,080
  4. Step 4: Simplify right side
    341,996x = 261,202,766,400
  5. Step 5: Solve for x
    x = 261,202,766,400/341,996
  6. Step 6: Final answer
    x = 763,759.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.