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Finding the Third Proportional to 225,900.75 and 470,511.75

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Solution

The third proportional to 225,900.75 and 470,511.75 is: 979,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,900.75 : 470,511.75 = 470,511.75 : x
  2. Step 2: Convert to fraction form
    225,900.75/470,511.75 = 470,511.75/x
  3. Step 3: Cross multiply
    225,900.75x = 470,511.75 × 470,511.75
  4. Step 4: Simplify right side
    225,900.75x = 221,381,306,888.06
  5. Step 5: Solve for x
    x = 221,381,306,888.06/225,900.75
  6. Step 6: Final answer
    x = 979,993.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.