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Finding the Third Proportional to 273,128 and 568,054

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Solution

The third proportional to 273,128 and 568,054 is: 1,181,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,128 : 568,054 = 568,054 : x
  2. Step 2: Convert to fraction form
    273,128/568,054 = 568,054/x
  3. Step 3: Cross multiply
    273,128x = 568,054 × 568,054
  4. Step 4: Simplify right side
    273,128x = 322,685,346,916
  5. Step 5: Solve for x
    x = 322,685,346,916/273,128
  6. Step 6: Final answer
    x = 1,181,443.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.