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Finding the Third Proportional to 365,506.25 and 548,257.38

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Solution

The third proportional to 365,506.25 and 548,257.38 is: 822,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,506.25 : 548,257.38 = 548,257.38 : x
  2. Step 2: Convert to fraction form
    365,506.25/548,257.38 = 548,257.38/x
  3. Step 3: Cross multiply
    365,506.25x = 548,257.38 × 548,257.38
  4. Step 4: Simplify right side
    365,506.25x = 300,586,149,241.89
  5. Step 5: Solve for x
    x = 300,586,149,241.89/365,506.25
  6. Step 6: Final answer
    x = 822,383.06

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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.