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Finding the Third Proportional to 339,228 and 448,532.44

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Solution

The third proportional to 339,228 and 448,532.44 is: 593,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,228 : 448,532.44 = 448,532.44 : x
  2. Step 2: Convert to fraction form
    339,228/448,532.44 = 448,532.44/x
  3. Step 3: Cross multiply
    339,228x = 448,532.44 × 448,532.44
  4. Step 4: Simplify right side
    339,228x = 201,181,347,489.69
  5. Step 5: Solve for x
    x = 201,181,347,489.69/339,228
  6. Step 6: Final answer
    x = 593,056.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.