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Finding the Third Proportional to 271,099.50 and 405,828.75

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Solution

The third proportional to 271,099.50 and 405,828.75 is: 607,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,099.50 : 405,828.75 = 405,828.75 : x
  2. Step 2: Convert to fraction form
    271,099.50/405,828.75 = 405,828.75/x
  3. Step 3: Cross multiply
    271,099.50x = 405,828.75 × 405,828.75
  4. Step 4: Simplify right side
    271,099.50x = 164,696,974,326.56
  5. Step 5: Solve for x
    x = 164,696,974,326.56/271,099.50
  6. Step 6: Final answer
    x = 607,514.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.