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Finding the Third Proportional to 308,072 and 661,984

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Solution

The third proportional to 308,072 and 661,984 is: 1,422,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,072 : 661,984 = 661,984 : x
  2. Step 2: Convert to fraction form
    308,072/661,984 = 661,984/x
  3. Step 3: Cross multiply
    308,072x = 661,984 × 661,984
  4. Step 4: Simplify right side
    308,072x = 438,222,816,256
  5. Step 5: Solve for x
    x = 438,222,816,256/308,072
  6. Step 6: Final answer
    x = 1,422,468.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.