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Finding the Third Proportional to 270,071 and 582,009

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Solution

The third proportional to 270,071 and 582,009 is: 1,254,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,071 : 582,009 = 582,009 : x
  2. Step 2: Convert to fraction form
    270,071/582,009 = 582,009/x
  3. Step 3: Cross multiply
    270,071x = 582,009 × 582,009
  4. Step 4: Simplify right side
    270,071x = 338,734,476,081
  5. Step 5: Solve for x
    x = 338,734,476,081/270,071
  6. Step 6: Final answer
    x = 1,254,242.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.