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Finding the Third Proportional to 271,048.50 and 396,852.75

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Solution

The third proportional to 271,048.50 and 396,852.75 is: 581,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,048.50 : 396,852.75 = 396,852.75 : x
  2. Step 2: Convert to fraction form
    271,048.50/396,852.75 = 396,852.75/x
  3. Step 3: Cross multiply
    271,048.50x = 396,852.75 × 396,852.75
  4. Step 4: Simplify right side
    271,048.50x = 157,492,105,182.56
  5. Step 5: Solve for x
    x = 157,492,105,182.56/271,048.50
  6. Step 6: Final answer
    x = 581,047.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.