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Finding the Third Proportional to 225,652 and 480,283

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Solution

The third proportional to 225,652 and 480,283 is: 1,022,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,652 : 480,283 = 480,283 : x
  2. Step 2: Convert to fraction form
    225,652/480,283 = 480,283/x
  3. Step 3: Cross multiply
    225,652x = 480,283 × 480,283
  4. Step 4: Simplify right side
    225,652x = 230,671,760,089
  5. Step 5: Solve for x
    x = 230,671,760,089/225,652
  6. Step 6: Final answer
    x = 1,022,245.58

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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.