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Finding the Third Proportional to 275,940 and 591,244

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Solution

The third proportional to 275,940 and 591,244 is: 1,266,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,940 : 591,244 = 591,244 : x
  2. Step 2: Convert to fraction form
    275,940/591,244 = 591,244/x
  3. Step 3: Cross multiply
    275,940x = 591,244 × 591,244
  4. Step 4: Simplify right side
    275,940x = 349,569,467,536
  5. Step 5: Solve for x
    x = 349,569,467,536/275,940
  6. Step 6: Final answer
    x = 1,266,831.44

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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.