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Finding the Third Proportional to 301,806 and 452,745.75

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Solution

The third proportional to 301,806 and 452,745.75 is: 679,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806 : 452,745.75 = 452,745.75 : x
  2. Step 2: Convert to fraction form
    301,806/452,745.75 = 452,745.75/x
  3. Step 3: Cross multiply
    301,806x = 452,745.75 × 452,745.75
  4. Step 4: Simplify right side
    301,806x = 204,978,714,143.06
  5. Step 5: Solve for x
    x = 204,978,714,143.06/301,806
  6. Step 6: Final answer
    x = 679,173.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.