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Finding the Third Proportional to 241,425 and 519,666

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Solution

The third proportional to 241,425 and 519,666 is: 1,118,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,425 : 519,666 = 519,666 : x
  2. Step 2: Convert to fraction form
    241,425/519,666 = 519,666/x
  3. Step 3: Cross multiply
    241,425x = 519,666 × 519,666
  4. Step 4: Simplify right side
    241,425x = 270,052,751,556
  5. Step 5: Solve for x
    x = 270,052,751,556/241,425
  6. Step 6: Final answer
    x = 1,118,578.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.