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Finding the Third Proportional to 241,928 and 505,888

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Solution

The third proportional to 241,928 and 505,888 is: 1,057,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,928 : 505,888 = 505,888 : x
  2. Step 2: Convert to fraction form
    241,928/505,888 = 505,888/x
  3. Step 3: Cross multiply
    241,928x = 505,888 × 505,888
  4. Step 4: Simplify right side
    241,928x = 255,922,668,544
  5. Step 5: Solve for x
    x = 255,922,668,544/241,928
  6. Step 6: Final answer
    x = 1,057,846.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.