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Finding the Third Proportional to 308,039 and 674,146.25

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Solution

The third proportional to 308,039 and 674,146.25 is: 1,475,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,039 : 674,146.25 = 674,146.25 : x
  2. Step 2: Convert to fraction form
    308,039/674,146.25 = 674,146.25/x
  3. Step 3: Cross multiply
    308,039x = 674,146.25 × 674,146.25
  4. Step 4: Simplify right side
    308,039x = 454,473,166,389.06
  5. Step 5: Solve for x
    x = 454,473,166,389.06/308,039
  6. Step 6: Final answer
    x = 1,475,375.41

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