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Finding the Third Proportional to 270,992 and 595,608

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Solution

The third proportional to 270,992 and 595,608 is: 1,309,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,992 : 595,608 = 595,608 : x
  2. Step 2: Convert to fraction form
    270,992/595,608 = 595,608/x
  3. Step 3: Cross multiply
    270,992x = 595,608 × 595,608
  4. Step 4: Simplify right side
    270,992x = 354,748,889,664
  5. Step 5: Solve for x
    x = 354,748,889,664/270,992
  6. Step 6: Final answer
    x = 1,309,075.14

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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.