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Finding the Third Proportional to 225,914 and 470,556

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Solution

The third proportional to 225,914 and 470,556 is: 980,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,914 : 470,556 = 470,556 : x
  2. Step 2: Convert to fraction form
    225,914/470,556 = 470,556/x
  3. Step 3: Cross multiply
    225,914x = 470,556 × 470,556
  4. Step 4: Simplify right side
    225,914x = 221,422,949,136
  5. Step 5: Solve for x
    x = 221,422,949,136/225,914
  6. Step 6: Final answer
    x = 980,120.53

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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.