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Finding the Third Proportional to 270,791 and 587,509

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Solution

The third proportional to 270,791 and 587,509 is: 1,274,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,791 : 587,509 = 587,509 : x
  2. Step 2: Convert to fraction form
    270,791/587,509 = 587,509/x
  3. Step 3: Cross multiply
    270,791x = 587,509 × 587,509
  4. Step 4: Simplify right side
    270,791x = 345,166,825,081
  5. Step 5: Solve for x
    x = 345,166,825,081/270,791
  6. Step 6: Final answer
    x = 1,274,661.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.