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Finding the Third Proportional to 342,299 and 763,302

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Solution

The third proportional to 342,299 and 763,302 is: 1,702,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,299 : 763,302 = 763,302 : x
  2. Step 2: Convert to fraction form
    342,299/763,302 = 763,302/x
  3. Step 3: Cross multiply
    342,299x = 763,302 × 763,302
  4. Step 4: Simplify right side
    342,299x = 582,629,943,204
  5. Step 5: Solve for x
    x = 582,629,943,204/342,299
  6. Step 6: Final answer
    x = 1,702,108.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.