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Finding the Third Proportional to 350,416.50 and 548,981.25

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Solution

The third proportional to 350,416.50 and 548,981.25 is: 860,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,416.50 : 548,981.25 = 548,981.25 : x
  2. Step 2: Convert to fraction form
    350,416.50/548,981.25 = 548,981.25/x
  3. Step 3: Cross multiply
    350,416.50x = 548,981.25 × 548,981.25
  4. Step 4: Simplify right side
    350,416.50x = 301,380,412,851.56
  5. Step 5: Solve for x
    x = 301,380,412,851.56/350,416.50
  6. Step 6: Final answer
    x = 860,063.42

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.