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Finding the Third Proportional to 350,794.13 and 488,745.56

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Solution

The third proportional to 350,794.13 and 488,745.56 is: 680,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,794.13 : 488,745.56 = 488,745.56 : x
  2. Step 2: Convert to fraction form
    350,794.13/488,745.56 = 488,745.56/x
  3. Step 3: Cross multiply
    350,794.13x = 488,745.56 × 488,745.56
  4. Step 4: Simplify right side
    350,794.13x = 238,872,224,863.44
  5. Step 5: Solve for x
    x = 238,872,224,863.44/350,794.13
  6. Step 6: Final answer
    x = 680,947.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.