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Finding the Third Proportional to 273,168 and 410,544

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Solution

The third proportional to 273,168 and 410,544 is: 617,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,168 : 410,544 = 410,544 : x
  2. Step 2: Convert to fraction form
    273,168/410,544 = 410,544/x
  3. Step 3: Cross multiply
    273,168x = 410,544 × 410,544
  4. Step 4: Simplify right side
    273,168x = 168,546,375,936
  5. Step 5: Solve for x
    x = 168,546,375,936/273,168
  6. Step 6: Final answer
    x = 617,006.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.