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Finding the Third Proportional to 303,996 and 467,946

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Solution

The third proportional to 303,996 and 467,946 is: 720,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,996 : 467,946 = 467,946 : x
  2. Step 2: Convert to fraction form
    303,996/467,946 = 467,946/x
  3. Step 3: Cross multiply
    303,996x = 467,946 × 467,946
  4. Step 4: Simplify right side
    303,996x = 218,973,458,916
  5. Step 5: Solve for x
    x = 218,973,458,916/303,996
  6. Step 6: Final answer
    x = 720,316.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.