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Finding the Third Proportional to 235,965 and 511,296

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Solution

The third proportional to 235,965 and 511,296 is: 1,107,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,965 : 511,296 = 511,296 : x
  2. Step 2: Convert to fraction form
    235,965/511,296 = 511,296/x
  3. Step 3: Cross multiply
    235,965x = 511,296 × 511,296
  4. Step 4: Simplify right side
    235,965x = 261,423,599,616
  5. Step 5: Solve for x
    x = 261,423,599,616/235,965
  6. Step 6: Final answer
    x = 1,107,891.42

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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.