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Finding the Third Proportional to 225,229.50 and 489,766.50

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Solution

The third proportional to 225,229.50 and 489,766.50 is: 1,065,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,229.50 : 489,766.50 = 489,766.50 : x
  2. Step 2: Convert to fraction form
    225,229.50/489,766.50 = 489,766.50/x
  3. Step 3: Cross multiply
    225,229.50x = 489,766.50 × 489,766.50
  4. Step 4: Simplify right side
    225,229.50x = 239,871,224,522.25
  5. Step 5: Solve for x
    x = 239,871,224,522.25/225,229.50
  6. Step 6: Final answer
    x = 1,065,008.02

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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.