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Finding the Third Proportional to 361,991.25 and 476,020.13

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Solution

The third proportional to 361,991.25 and 476,020.13 is: 625,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,991.25 : 476,020.13 = 476,020.13 : x
  2. Step 2: Convert to fraction form
    361,991.25/476,020.13 = 476,020.13/x
  3. Step 3: Cross multiply
    361,991.25x = 476,020.13 × 476,020.13
  4. Step 4: Simplify right side
    361,991.25x = 226,595,159,405.02
  5. Step 5: Solve for x
    x = 226,595,159,405.02/361,991.25
  6. Step 6: Final answer
    x = 625,968.61

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.