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Finding the Third Proportional to 225,738 and 480,852

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Solution

The third proportional to 225,738 and 480,852 is: 1,024,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,738 : 480,852 = 480,852 : x
  2. Step 2: Convert to fraction form
    225,738/480,852 = 480,852/x
  3. Step 3: Cross multiply
    225,738x = 480,852 × 480,852
  4. Step 4: Simplify right side
    225,738x = 231,218,645,904
  5. Step 5: Solve for x
    x = 231,218,645,904/225,738
  6. Step 6: Final answer
    x = 1,024,278.79

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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.