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Finding the Third Proportional to 255,795 and 538,104

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Solution

The third proportional to 255,795 and 538,104 is: 1,131,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,795 : 538,104 = 538,104 : x
  2. Step 2: Convert to fraction form
    255,795/538,104 = 538,104/x
  3. Step 3: Cross multiply
    255,795x = 538,104 × 538,104
  4. Step 4: Simplify right side
    255,795x = 289,555,914,816
  5. Step 5: Solve for x
    x = 289,555,914,816/255,795
  6. Step 6: Final answer
    x = 1,131,984.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.