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Finding the Third Proportional to 293,640.75 and 641,211.19

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Solution

The third proportional to 293,640.75 and 641,211.19 is: 1,400,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,640.75 : 641,211.19 = 641,211.19 : x
  2. Step 2: Convert to fraction form
    293,640.75/641,211.19 = 641,211.19/x
  3. Step 3: Cross multiply
    293,640.75x = 641,211.19 × 641,211.19
  4. Step 4: Simplify right side
    293,640.75x = 411,151,786,975.16
  5. Step 5: Solve for x
    x = 411,151,786,975.16/293,640.75
  6. Step 6: Final answer
    x = 1,400,186.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.