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Finding the Third Proportional to 300,745.50 and 437,584.50

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Solution

The third proportional to 300,745.50 and 437,584.50 is: 636,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,745.50 : 437,584.50 = 437,584.50 : x
  2. Step 2: Convert to fraction form
    300,745.50/437,584.50 = 437,584.50/x
  3. Step 3: Cross multiply
    300,745.50x = 437,584.50 × 437,584.50
  4. Step 4: Simplify right side
    300,745.50x = 191,480,194,640.25
  5. Step 5: Solve for x
    x = 191,480,194,640.25/300,745.50
  6. Step 6: Final answer
    x = 636,685.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.