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Finding the Third Proportional to 225,891.75 and 470,511.50

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Solution

The third proportional to 225,891.75 and 470,511.50 is: 980,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,891.75 : 470,511.50 = 470,511.50 : x
  2. Step 2: Convert to fraction form
    225,891.75/470,511.50 = 470,511.50/x
  3. Step 3: Cross multiply
    225,891.75x = 470,511.50 × 470,511.50
  4. Step 4: Simplify right side
    225,891.75x = 221,381,071,632.25
  5. Step 5: Solve for x
    x = 221,381,071,632.25/225,891.75
  6. Step 6: Final answer
    x = 980,031.68

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Why These Related Problems?

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