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Finding the Third Proportional to 260,048 and 413,756

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Solution

The third proportional to 260,048 and 413,756 is: 658,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,048 : 413,756 = 413,756 : x
  2. Step 2: Convert to fraction form
    260,048/413,756 = 413,756/x
  3. Step 3: Cross multiply
    260,048x = 413,756 × 413,756
  4. Step 4: Simplify right side
    260,048x = 171,194,027,536
  5. Step 5: Solve for x
    x = 171,194,027,536/260,048
  6. Step 6: Final answer
    x = 658,317.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.