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Finding the Third Proportional to 299,469 and 654,257

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Solution

The third proportional to 299,469 and 654,257 is: 1,429,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,469 : 654,257 = 654,257 : x
  2. Step 2: Convert to fraction form
    299,469/654,257 = 654,257/x
  3. Step 3: Cross multiply
    299,469x = 654,257 × 654,257
  4. Step 4: Simplify right side
    299,469x = 428,052,222,049
  5. Step 5: Solve for x
    x = 428,052,222,049/299,469
  6. Step 6: Final answer
    x = 1,429,370.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.