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Finding the Third Proportional to 366,884 and 489,225.50

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Solution

The third proportional to 366,884 and 489,225.50 is: 652,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,884 : 489,225.50 = 489,225.50 : x
  2. Step 2: Convert to fraction form
    366,884/489,225.50 = 489,225.50/x
  3. Step 3: Cross multiply
    366,884x = 489,225.50 × 489,225.50
  4. Step 4: Simplify right side
    366,884x = 239,341,589,850.25
  5. Step 5: Solve for x
    x = 239,341,589,850.25/366,884
  6. Step 6: Final answer
    x = 652,363.12

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.