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Finding the Third Proportional to 275,109.75 and 580,081.13

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Solution

The third proportional to 275,109.75 and 580,081.13 is: 1,223,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,109.75 : 580,081.13 = 580,081.13 : x
  2. Step 2: Convert to fraction form
    275,109.75/580,081.13 = 580,081.13/x
  3. Step 3: Cross multiply
    275,109.75x = 580,081.13 × 580,081.13
  4. Step 4: Simplify right side
    275,109.75x = 336,494,111,581.27
  5. Step 5: Solve for x
    x = 336,494,111,581.27/275,109.75
  6. Step 6: Final answer
    x = 1,223,126.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.