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Finding the Third Proportional to 225,021 and 480,175

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Solution

The third proportional to 225,021 and 480,175 is: 1,024,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,021 : 480,175 = 480,175 : x
  2. Step 2: Convert to fraction form
    225,021/480,175 = 480,175/x
  3. Step 3: Cross multiply
    225,021x = 480,175 × 480,175
  4. Step 4: Simplify right side
    225,021x = 230,568,030,625
  5. Step 5: Solve for x
    x = 230,568,030,625/225,021
  6. Step 6: Final answer
    x = 1,024,651.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.