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Finding the Third Proportional to 225,960 and 486,912

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Solution

The third proportional to 225,960 and 486,912 is: 1,049,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,960 : 486,912 = 486,912 : x
  2. Step 2: Convert to fraction form
    225,960/486,912 = 486,912/x
  3. Step 3: Cross multiply
    225,960x = 486,912 × 486,912
  4. Step 4: Simplify right side
    225,960x = 237,083,295,744
  5. Step 5: Solve for x
    x = 237,083,295,744/225,960
  6. Step 6: Final answer
    x = 1,049,226.84

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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.