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Finding the Third Proportional to 320,196 and 741,198

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Solution

The third proportional to 320,196 and 741,198 is: 1,715,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,196 : 741,198 = 741,198 : x
  2. Step 2: Convert to fraction form
    320,196/741,198 = 741,198/x
  3. Step 3: Cross multiply
    320,196x = 741,198 × 741,198
  4. Step 4: Simplify right side
    320,196x = 549,374,475,204
  5. Step 5: Solve for x
    x = 549,374,475,204/320,196
  6. Step 6: Final answer
    x = 1,715,744.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.