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Finding the Third Proportional to 305,245.50 and 449,050.50

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Solution

The third proportional to 305,245.50 and 449,050.50 is: 660,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,245.50 : 449,050.50 = 449,050.50 : x
  2. Step 2: Convert to fraction form
    305,245.50/449,050.50 = 449,050.50/x
  3. Step 3: Cross multiply
    305,245.50x = 449,050.50 × 449,050.50
  4. Step 4: Simplify right side
    305,245.50x = 201,646,351,550.25
  5. Step 5: Solve for x
    x = 201,646,351,550.25/305,245.50
  6. Step 6: Final answer
    x = 660,603.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.