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Finding the Third Proportional to 241,275 and 509,766

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Solution

The third proportional to 241,275 and 509,766 is: 1,077,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,275 : 509,766 = 509,766 : x
  2. Step 2: Convert to fraction form
    241,275/509,766 = 509,766/x
  3. Step 3: Cross multiply
    241,275x = 509,766 × 509,766
  4. Step 4: Simplify right side
    241,275x = 259,861,374,756
  5. Step 5: Solve for x
    x = 259,861,374,756/241,275
  6. Step 6: Final answer
    x = 1,077,033.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.