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Finding the Third Proportional to 301,029.75 and 412,794

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Solution

The third proportional to 301,029.75 and 412,794 is: 566,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,029.75 : 412,794 = 412,794 : x
  2. Step 2: Convert to fraction form
    301,029.75/412,794 = 412,794/x
  3. Step 3: Cross multiply
    301,029.75x = 412,794 × 412,794
  4. Step 4: Simplify right side
    301,029.75x = 170,398,886,436
  5. Step 5: Solve for x
    x = 170,398,886,436/301,029.75
  6. Step 6: Final answer
    x = 566,053.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.