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Finding the Third Proportional to 412,867 and 683,302

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Solution

The third proportional to 412,867 and 683,302 is: 1,130,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,867 : 683,302 = 683,302 : x
  2. Step 2: Convert to fraction form
    412,867/683,302 = 683,302/x
  3. Step 3: Cross multiply
    412,867x = 683,302 × 683,302
  4. Step 4: Simplify right side
    412,867x = 466,901,623,204
  5. Step 5: Solve for x
    x = 466,901,623,204/412,867
  6. Step 6: Final answer
    x = 1,130,876.59

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.