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Finding the Third Proportional to 270,040 and 590,936

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Solution

The third proportional to 270,040 and 590,936 is: 1,293,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,040 : 590,936 = 590,936 : x
  2. Step 2: Convert to fraction form
    270,040/590,936 = 590,936/x
  3. Step 3: Cross multiply
    270,040x = 590,936 × 590,936
  4. Step 4: Simplify right side
    270,040x = 349,205,356,096
  5. Step 5: Solve for x
    x = 349,205,356,096/270,040
  6. Step 6: Final answer
    x = 1,293,161.59

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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.