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Finding the Third Proportional to 241,424 and 519,660

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Solution

The third proportional to 241,424 and 519,660 is: 1,118,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,424 : 519,660 = 519,660 : x
  2. Step 2: Convert to fraction form
    241,424/519,660 = 519,660/x
  3. Step 3: Cross multiply
    241,424x = 519,660 × 519,660
  4. Step 4: Simplify right side
    241,424x = 270,046,515,600
  5. Step 5: Solve for x
    x = 270,046,515,600/241,424
  6. Step 6: Final answer
    x = 1,118,557.04

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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.