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Finding the Third Proportional to 444,285 and 670,353

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Solution

The third proportional to 444,285 and 670,353 is: 1,011,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,285 : 670,353 = 670,353 : x
  2. Step 2: Convert to fraction form
    444,285/670,353 = 670,353/x
  3. Step 3: Cross multiply
    444,285x = 670,353 × 670,353
  4. Step 4: Simplify right side
    444,285x = 449,373,144,609
  5. Step 5: Solve for x
    x = 449,373,144,609/444,285
  6. Step 6: Final answer
    x = 1,011,452.43

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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.