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Finding the Third Proportional to 224,928.50 and 489,223

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Solution

The third proportional to 224,928.50 and 489,223 is: 1,064,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,928.50 : 489,223 = 489,223 : x
  2. Step 2: Convert to fraction form
    224,928.50/489,223 = 489,223/x
  3. Step 3: Cross multiply
    224,928.50x = 489,223 × 489,223
  4. Step 4: Simplify right side
    224,928.50x = 239,339,143,729
  5. Step 5: Solve for x
    x = 239,339,143,729/224,928.50
  6. Step 6: Final answer
    x = 1,064,067.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.