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Finding the Third Proportional to 204,048 and 424,651.50

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Solution

The third proportional to 204,048 and 424,651.50 is: 883,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,048 : 424,651.50 = 424,651.50 : x
  2. Step 2: Convert to fraction form
    204,048/424,651.50 = 424,651.50/x
  3. Step 3: Cross multiply
    204,048x = 424,651.50 × 424,651.50
  4. Step 4: Simplify right side
    204,048x = 180,328,896,452.25
  5. Step 5: Solve for x
    x = 180,328,896,452.25/204,048
  6. Step 6: Final answer
    x = 883,757.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.