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Finding the Third Proportional to 300,360 and 533,936

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Solution

The third proportional to 300,360 and 533,936 is: 949,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,360 : 533,936 = 533,936 : x
  2. Step 2: Convert to fraction form
    300,360/533,936 = 533,936/x
  3. Step 3: Cross multiply
    300,360x = 533,936 × 533,936
  4. Step 4: Simplify right side
    300,360x = 285,087,652,096
  5. Step 5: Solve for x
    x = 285,087,652,096/300,360
  6. Step 6: Final answer
    x = 949,153.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.