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Finding the Third Proportional to 241,094 and 525,035

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Solution

The third proportional to 241,094 and 525,035 is: 1,143,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,094 : 525,035 = 525,035 : x
  2. Step 2: Convert to fraction form
    241,094/525,035 = 525,035/x
  3. Step 3: Cross multiply
    241,094x = 525,035 × 525,035
  4. Step 4: Simplify right side
    241,094x = 275,661,751,225
  5. Step 5: Solve for x
    x = 275,661,751,225/241,094
  6. Step 6: Final answer
    x = 1,143,378.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.