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Finding the Third Proportional to 413,268 and 628,134

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Solution

The third proportional to 413,268 and 628,134 is: 954,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,268 : 628,134 = 628,134 : x
  2. Step 2: Convert to fraction form
    413,268/628,134 = 628,134/x
  3. Step 3: Cross multiply
    413,268x = 628,134 × 628,134
  4. Step 4: Simplify right side
    413,268x = 394,552,321,956
  5. Step 5: Solve for x
    x = 394,552,321,956/413,268
  6. Step 6: Final answer
    x = 954,712.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.