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Finding the Third Proportional to 260,435 and 557,734

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Solution

The third proportional to 260,435 and 557,734 is: 1,194,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,435 : 557,734 = 557,734 : x
  2. Step 2: Convert to fraction form
    260,435/557,734 = 557,734/x
  3. Step 3: Cross multiply
    260,435x = 557,734 × 557,734
  4. Step 4: Simplify right side
    260,435x = 311,067,214,756
  5. Step 5: Solve for x
    x = 311,067,214,756/260,435
  6. Step 6: Final answer
    x = 1,194,414.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.