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Finding the Third Proportional to 270,978 and 595,582

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Solution

The third proportional to 270,978 and 595,582 is: 1,309,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,978 : 595,582 = 595,582 : x
  2. Step 2: Convert to fraction form
    270,978/595,582 = 595,582/x
  3. Step 3: Cross multiply
    270,978x = 595,582 × 595,582
  4. Step 4: Simplify right side
    270,978x = 354,717,918,724
  5. Step 5: Solve for x
    x = 354,717,918,724/270,978
  6. Step 6: Final answer
    x = 1,309,028.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.