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Finding the Third Proportional to 303,488 and 476,016

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Solution

The third proportional to 303,488 and 476,016 is: 746,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,488 : 476,016 = 476,016 : x
  2. Step 2: Convert to fraction form
    303,488/476,016 = 476,016/x
  3. Step 3: Cross multiply
    303,488x = 476,016 × 476,016
  4. Step 4: Simplify right side
    303,488x = 226,591,232,256
  5. Step 5: Solve for x
    x = 226,591,232,256/303,488
  6. Step 6: Final answer
    x = 746,623.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.