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Finding the Third Proportional to 225,916 and 486,824

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Solution

The third proportional to 225,916 and 486,824 is: 1,049,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,916 : 486,824 = 486,824 : x
  2. Step 2: Convert to fraction form
    225,916/486,824 = 486,824/x
  3. Step 3: Cross multiply
    225,916x = 486,824 × 486,824
  4. Step 4: Simplify right side
    225,916x = 236,997,606,976
  5. Step 5: Solve for x
    x = 236,997,606,976/225,916
  6. Step 6: Final answer
    x = 1,049,051.89

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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.