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Finding the Third Proportional to 276,223.50 and 415,361.25

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Solution

The third proportional to 276,223.50 and 415,361.25 is: 624,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,223.50 : 415,361.25 = 415,361.25 : x
  2. Step 2: Convert to fraction form
    276,223.50/415,361.25 = 415,361.25/x
  3. Step 3: Cross multiply
    276,223.50x = 415,361.25 × 415,361.25
  4. Step 4: Simplify right side
    276,223.50x = 172,524,968,001.56
  5. Step 5: Solve for x
    x = 172,524,968,001.56/276,223.50
  6. Step 6: Final answer
    x = 624,584.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.