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Finding the Third Proportional to 241,064 and 519,124

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Solution

The third proportional to 241,064 and 519,124 is: 1,117,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,064 : 519,124 = 519,124 : x
  2. Step 2: Convert to fraction form
    241,064/519,124 = 519,124/x
  3. Step 3: Cross multiply
    241,064x = 519,124 × 519,124
  4. Step 4: Simplify right side
    241,064x = 269,489,727,376
  5. Step 5: Solve for x
    x = 269,489,727,376/241,064
  6. Step 6: Final answer
    x = 1,117,917.76

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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.