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Finding the Third Proportional to 419,268 and 664,218

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Solution

The third proportional to 419,268 and 664,218 is: 1,052,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,268 : 664,218 = 664,218 : x
  2. Step 2: Convert to fraction form
    419,268/664,218 = 664,218/x
  3. Step 3: Cross multiply
    419,268x = 664,218 × 664,218
  4. Step 4: Simplify right side
    419,268x = 441,185,551,524
  5. Step 5: Solve for x
    x = 441,185,551,524/419,268
  6. Step 6: Final answer
    x = 1,052,275.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.