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Finding the Third Proportional to 224,823.50 and 489,296

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Solution

The third proportional to 224,823.50 and 489,296 is: 1,064,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,823.50 : 489,296 = 489,296 : x
  2. Step 2: Convert to fraction form
    224,823.50/489,296 = 489,296/x
  3. Step 3: Cross multiply
    224,823.50x = 489,296 × 489,296
  4. Step 4: Simplify right side
    224,823.50x = 239,410,575,616
  5. Step 5: Solve for x
    x = 239,410,575,616/224,823.50
  6. Step 6: Final answer
    x = 1,064,882.34

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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.