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Finding the Third Proportional to 204,471.50 and 446,851

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Solution

The third proportional to 204,471.50 and 446,851 is: 976,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,471.50 : 446,851 = 446,851 : x
  2. Step 2: Convert to fraction form
    204,471.50/446,851 = 446,851/x
  3. Step 3: Cross multiply
    204,471.50x = 446,851 × 446,851
  4. Step 4: Simplify right side
    204,471.50x = 199,675,816,201
  5. Step 5: Solve for x
    x = 199,675,816,201/204,471.50
  6. Step 6: Final answer
    x = 976,545.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.