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Finding the Third Proportional to 308,059 and 674,092

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Solution

The third proportional to 308,059 and 674,092 is: 1,475,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,059 : 674,092 = 674,092 : x
  2. Step 2: Convert to fraction form
    308,059/674,092 = 674,092/x
  3. Step 3: Cross multiply
    308,059x = 674,092 × 674,092
  4. Step 4: Simplify right side
    308,059x = 454,400,024,464
  5. Step 5: Solve for x
    x = 454,400,024,464/308,059
  6. Step 6: Final answer
    x = 1,475,042.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.