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Finding the Third Proportional to 271,555.50 and 379,830

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Solution

The third proportional to 271,555.50 and 379,830 is: 531,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,555.50 : 379,830 = 379,830 : x
  2. Step 2: Convert to fraction form
    271,555.50/379,830 = 379,830/x
  3. Step 3: Cross multiply
    271,555.50x = 379,830 × 379,830
  4. Step 4: Simplify right side
    271,555.50x = 144,270,828,900
  5. Step 5: Solve for x
    x = 144,270,828,900/271,555.50
  6. Step 6: Final answer
    x = 531,275.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.