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Finding the Third Proportional to 279,122 and 605,044

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Solution

The third proportional to 279,122 and 605,044 is: 1,311,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,122 : 605,044 = 605,044 : x
  2. Step 2: Convert to fraction form
    279,122/605,044 = 605,044/x
  3. Step 3: Cross multiply
    279,122x = 605,044 × 605,044
  4. Step 4: Simplify right side
    279,122x = 366,078,241,936
  5. Step 5: Solve for x
    x = 366,078,241,936/279,122
  6. Step 6: Final answer
    x = 1,311,534.89

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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.