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Finding the Third Proportional to 270,039 and 590,910

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Solution

The third proportional to 270,039 and 590,910 is: 1,293,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,039 : 590,910 = 590,910 : x
  2. Step 2: Convert to fraction form
    270,039/590,910 = 590,910/x
  3. Step 3: Cross multiply
    270,039x = 590,910 × 590,910
  4. Step 4: Simplify right side
    270,039x = 349,174,628,100
  5. Step 5: Solve for x
    x = 349,174,628,100/270,039
  6. Step 6: Final answer
    x = 1,293,052.59

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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.