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Finding the Third Proportional to 308,032 and 668,768

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Solution

The third proportional to 308,032 and 668,768 is: 1,451,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,032 : 668,768 = 668,768 : x
  2. Step 2: Convert to fraction form
    308,032/668,768 = 668,768/x
  3. Step 3: Cross multiply
    308,032x = 668,768 × 668,768
  4. Step 4: Simplify right side
    308,032x = 447,250,637,824
  5. Step 5: Solve for x
    x = 447,250,637,824/308,032
  6. Step 6: Final answer
    x = 1,451,961.61

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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.