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Finding the Third Proportional to 315,469.69 and 489,408.47

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Solution

The third proportional to 315,469.69 and 489,408.47 is: 759,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,469.69 : 489,408.47 = 489,408.47 : x
  2. Step 2: Convert to fraction form
    315,469.69/489,408.47 = 489,408.47/x
  3. Step 3: Cross multiply
    315,469.69x = 489,408.47 × 489,408.47
  4. Step 4: Simplify right side
    315,469.69x = 239,520,649,284.22
  5. Step 5: Solve for x
    x = 239,520,649,284.22/315,469.69
  6. Step 6: Final answer
    x = 759,250.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.