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Finding the Third Proportional to 299,265 and 646,005

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Solution

The third proportional to 299,265 and 646,005 is: 1,394,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,265 : 646,005 = 646,005 : x
  2. Step 2: Convert to fraction form
    299,265/646,005 = 646,005/x
  3. Step 3: Cross multiply
    299,265x = 646,005 × 646,005
  4. Step 4: Simplify right side
    299,265x = 417,322,460,025
  5. Step 5: Solve for x
    x = 417,322,460,025/299,265
  6. Step 6: Final answer
    x = 1,394,491.37

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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.