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Finding the Third Proportional to 299,292 and 646,062

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Solution

The third proportional to 299,292 and 646,062 is: 1,394,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,292 : 646,062 = 646,062 : x
  2. Step 2: Convert to fraction form
    299,292/646,062 = 646,062/x
  3. Step 3: Cross multiply
    299,292x = 646,062 × 646,062
  4. Step 4: Simplify right side
    299,292x = 417,396,107,844
  5. Step 5: Solve for x
    x = 417,396,107,844/299,292
  6. Step 6: Final answer
    x = 1,394,611.64

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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.