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Finding the Third Proportional to 225,907 and 470,525

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Solution

The third proportional to 225,907 and 470,525 is: 980,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,907 : 470,525 = 470,525 : x
  2. Step 2: Convert to fraction form
    225,907/470,525 = 470,525/x
  3. Step 3: Cross multiply
    225,907x = 470,525 × 470,525
  4. Step 4: Simplify right side
    225,907x = 221,393,775,625
  5. Step 5: Solve for x
    x = 221,393,775,625/225,907
  6. Step 6: Final answer
    x = 980,021.76

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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.