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Finding the Third Proportional to 225,286 and 483,852

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Solution

The third proportional to 225,286 and 483,852 is: 1,039,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,286 : 483,852 = 483,852 : x
  2. Step 2: Convert to fraction form
    225,286/483,852 = 483,852/x
  3. Step 3: Cross multiply
    225,286x = 483,852 × 483,852
  4. Step 4: Simplify right side
    225,286x = 234,112,757,904
  5. Step 5: Solve for x
    x = 234,112,757,904/225,286
  6. Step 6: Final answer
    x = 1,039,180.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.