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Finding the Third Proportional to 338,448 and 449,259

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Solution

The third proportional to 338,448 and 449,259 is: 596,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,448 : 449,259 = 449,259 : x
  2. Step 2: Convert to fraction form
    338,448/449,259 = 449,259/x
  3. Step 3: Cross multiply
    338,448x = 449,259 × 449,259
  4. Step 4: Simplify right side
    338,448x = 201,833,649,081
  5. Step 5: Solve for x
    x = 201,833,649,081/338,448
  6. Step 6: Final answer
    x = 596,350.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.