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Finding the Third Proportional to 291,025.25 and 434,745.50

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Solution

The third proportional to 291,025.25 and 434,745.50 is: 649,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,025.25 : 434,745.50 = 434,745.50 : x
  2. Step 2: Convert to fraction form
    291,025.25/434,745.50 = 434,745.50/x
  3. Step 3: Cross multiply
    291,025.25x = 434,745.50 × 434,745.50
  4. Step 4: Simplify right side
    291,025.25x = 189,003,649,770.25
  5. Step 5: Solve for x
    x = 189,003,649,770.25/291,025.25
  6. Step 6: Final answer
    x = 649,440.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.