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Finding the Third Proportional to 600,669.75 and 1,277,640.75

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Solution

The third proportional to 600,669.75 and 1,277,640.75 is: 2,717,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,669.75 : 1,277,640.75 = 1,277,640.75 : x
  2. Step 2: Convert to fraction form
    600,669.75/1,277,640.75 = 1,277,640.75/x
  3. Step 3: Cross multiply
    600,669.75x = 1,277,640.75 × 1,277,640.75
  4. Step 4: Simplify right side
    600,669.75x = 1,632,365,886,060.56
  5. Step 5: Solve for x
    x = 1,632,365,886,060.56/600,669.75
  6. Step 6: Final answer
    x = 2,717,576.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.