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Finding the Third Proportional to 305,198 and 662,938

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Solution

The third proportional to 305,198 and 662,938 is: 1,440,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,198 : 662,938 = 662,938 : x
  2. Step 2: Convert to fraction form
    305,198/662,938 = 662,938/x
  3. Step 3: Cross multiply
    305,198x = 662,938 × 662,938
  4. Step 4: Simplify right side
    305,198x = 439,486,791,844
  5. Step 5: Solve for x
    x = 439,486,791,844/305,198
  6. Step 6: Final answer
    x = 1,440,005.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.