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Finding the Third Proportional to 228,361.50 and 481,341

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Solution

The third proportional to 228,361.50 and 481,341 is: 1,014,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,361.50 : 481,341 = 481,341 : x
  2. Step 2: Convert to fraction form
    228,361.50/481,341 = 481,341/x
  3. Step 3: Cross multiply
    228,361.50x = 481,341 × 481,341
  4. Step 4: Simplify right side
    228,361.50x = 231,689,158,281
  5. Step 5: Solve for x
    x = 231,689,158,281/228,361.50
  6. Step 6: Final answer
    x = 1,014,571.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.