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Finding the Third Proportional to 275,622.75 and 413,436.38

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Solution

The third proportional to 275,622.75 and 413,436.38 is: 620,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,622.75 : 413,436.38 = 413,436.38 : x
  2. Step 2: Convert to fraction form
    275,622.75/413,436.38 = 413,436.38/x
  3. Step 3: Cross multiply
    275,622.75x = 413,436.38 × 413,436.38
  4. Step 4: Simplify right side
    275,622.75x = 170,929,636,173.14
  5. Step 5: Solve for x
    x = 170,929,636,173.14/275,622.75
  6. Step 6: Final answer
    x = 620,157.94

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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.