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Finding the Third Proportional to 275,949 and 591,255

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Solution

The third proportional to 275,949 and 591,255 is: 1,266,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,949 : 591,255 = 591,255 : x
  2. Step 2: Convert to fraction form
    275,949/591,255 = 591,255/x
  3. Step 3: Cross multiply
    275,949x = 591,255 × 591,255
  4. Step 4: Simplify right side
    275,949x = 349,582,475,025
  5. Step 5: Solve for x
    x = 349,582,475,025/275,949
  6. Step 6: Final answer
    x = 1,266,837.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.