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Finding the Third Proportional to 318,168 and 449,592

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Solution

The third proportional to 318,168 and 449,592 is: 635,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,168 : 449,592 = 449,592 : x
  2. Step 2: Convert to fraction form
    318,168/449,592 = 449,592/x
  3. Step 3: Cross multiply
    318,168x = 449,592 × 449,592
  4. Step 4: Simplify right side
    318,168x = 202,132,966,464
  5. Step 5: Solve for x
    x = 202,132,966,464/318,168
  6. Step 6: Final answer
    x = 635,302.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.