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Finding the Third Proportional to 441,436 and 683,390

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Solution

The third proportional to 441,436 and 683,390 is: 1,057,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,436 : 683,390 = 683,390 : x
  2. Step 2: Convert to fraction form
    441,436/683,390 = 683,390/x
  3. Step 3: Cross multiply
    441,436x = 683,390 × 683,390
  4. Step 4: Simplify right side
    441,436x = 467,021,892,100
  5. Step 5: Solve for x
    x = 467,021,892,100/441,436
  6. Step 6: Final answer
    x = 1,057,960.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.