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Finding the Third Proportional to 275,440.50 and 421,331.63

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Solution

The third proportional to 275,440.50 and 421,331.63 is: 644,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,440.50 : 421,331.63 = 421,331.63 : x
  2. Step 2: Convert to fraction form
    275,440.50/421,331.63 = 421,331.63/x
  3. Step 3: Cross multiply
    275,440.50x = 421,331.63 × 421,331.63
  4. Step 4: Simplify right side
    275,440.50x = 177,520,338,225.14
  5. Step 5: Solve for x
    x = 177,520,338,225.14/275,440.50
  6. Step 6: Final answer
    x = 644,496.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.