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Finding the Third Proportional to 260,348 and 536,244

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Solution

The third proportional to 260,348 and 536,244 is: 1,104,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,348 : 536,244 = 536,244 : x
  2. Step 2: Convert to fraction form
    260,348/536,244 = 536,244/x
  3. Step 3: Cross multiply
    260,348x = 536,244 × 536,244
  4. Step 4: Simplify right side
    260,348x = 287,557,627,536
  5. Step 5: Solve for x
    x = 287,557,627,536/260,348
  6. Step 6: Final answer
    x = 1,104,512.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.