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Finding the Third Proportional to 275,199.75 and 421,006.50

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Solution

The third proportional to 275,199.75 and 421,006.50 is: 644,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,199.75 : 421,006.50 = 421,006.50 : x
  2. Step 2: Convert to fraction form
    275,199.75/421,006.50 = 421,006.50/x
  3. Step 3: Cross multiply
    275,199.75x = 421,006.50 × 421,006.50
  4. Step 4: Simplify right side
    275,199.75x = 177,246,473,042.25
  5. Step 5: Solve for x
    x = 177,246,473,042.25/275,199.75
  6. Step 6: Final answer
    x = 644,064.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.