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Finding the Third Proportional to 299,272 and 646,024

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Solution

The third proportional to 299,272 and 646,024 is: 1,394,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,272 : 646,024 = 646,024 : x
  2. Step 2: Convert to fraction form
    299,272/646,024 = 646,024/x
  3. Step 3: Cross multiply
    299,272x = 646,024 × 646,024
  4. Step 4: Simplify right side
    299,272x = 417,347,008,576
  5. Step 5: Solve for x
    x = 417,347,008,576/299,272
  6. Step 6: Final answer
    x = 1,394,540.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.