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Finding the Third Proportional to 225,223 and 489,649

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Solution

The third proportional to 225,223 and 489,649 is: 1,064,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,223 : 489,649 = 489,649 : x
  2. Step 2: Convert to fraction form
    225,223/489,649 = 489,649/x
  3. Step 3: Cross multiply
    225,223x = 489,649 × 489,649
  4. Step 4: Simplify right side
    225,223x = 239,756,143,201
  5. Step 5: Solve for x
    x = 239,756,143,201/225,223
  6. Step 6: Final answer
    x = 1,064,527.79

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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.