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Finding the Third Proportional to 224,818.50 and 489,295.50

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Solution

The third proportional to 224,818.50 and 489,295.50 is: 1,064,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,818.50 : 489,295.50 = 489,295.50 : x
  2. Step 2: Convert to fraction form
    224,818.50/489,295.50 = 489,295.50/x
  3. Step 3: Cross multiply
    224,818.50x = 489,295.50 × 489,295.50
  4. Step 4: Simplify right side
    224,818.50x = 239,410,086,320.25
  5. Step 5: Solve for x
    x = 239,410,086,320.25/224,818.50
  6. Step 6: Final answer
    x = 1,064,903.85

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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.