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Finding the Third Proportional to 313,233 and 474,225

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Solution

The third proportional to 313,233 and 474,225 is: 717,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,233 : 474,225 = 474,225 : x
  2. Step 2: Convert to fraction form
    313,233/474,225 = 474,225/x
  3. Step 3: Cross multiply
    313,233x = 474,225 × 474,225
  4. Step 4: Simplify right side
    313,233x = 224,889,350,625
  5. Step 5: Solve for x
    x = 224,889,350,625/313,233
  6. Step 6: Final answer
    x = 717,961.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.