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Finding the Third Proportional to 311,223 and 440,410.50

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Solution

The third proportional to 311,223 and 440,410.50 is: 623,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,223 : 440,410.50 = 440,410.50 : x
  2. Step 2: Convert to fraction form
    311,223/440,410.50 = 440,410.50/x
  3. Step 3: Cross multiply
    311,223x = 440,410.50 × 440,410.50
  4. Step 4: Simplify right side
    311,223x = 193,961,408,510.25
  5. Step 5: Solve for x
    x = 193,961,408,510.25/311,223
  6. Step 6: Final answer
    x = 623,223.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.