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Finding the Third Proportional to 341,802 and 736,198

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Solution

The third proportional to 341,802 and 736,198 is: 1,585,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,802 : 736,198 = 736,198 : x
  2. Step 2: Convert to fraction form
    341,802/736,198 = 736,198/x
  3. Step 3: Cross multiply
    341,802x = 736,198 × 736,198
  4. Step 4: Simplify right side
    341,802x = 541,987,495,204
  5. Step 5: Solve for x
    x = 541,987,495,204/341,802
  6. Step 6: Final answer
    x = 1,585,676.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.