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Finding the Third Proportional to 225,972 and 490,824

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Solution

The third proportional to 225,972 and 490,824 is: 1,066,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,972 : 490,824 = 490,824 : x
  2. Step 2: Convert to fraction form
    225,972/490,824 = 490,824/x
  3. Step 3: Cross multiply
    225,972x = 490,824 × 490,824
  4. Step 4: Simplify right side
    225,972x = 240,908,198,976
  5. Step 5: Solve for x
    x = 240,908,198,976/225,972
  6. Step 6: Final answer
    x = 1,066,097.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.