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Finding the Third Proportional to 270,016 and 590,899

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Solution

The third proportional to 270,016 and 590,899 is: 1,293,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,016 : 590,899 = 590,899 : x
  2. Step 2: Convert to fraction form
    270,016/590,899 = 590,899/x
  3. Step 3: Cross multiply
    270,016x = 590,899 × 590,899
  4. Step 4: Simplify right side
    270,016x = 349,161,628,201
  5. Step 5: Solve for x
    x = 349,161,628,201/270,016
  6. Step 6: Final answer
    x = 1,293,114.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.