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Finding the Third Proportional to 275,196.75 and 420,999.75

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Solution

The third proportional to 275,196.75 and 420,999.75 is: 644,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,196.75 : 420,999.75 = 420,999.75 : x
  2. Step 2: Convert to fraction form
    275,196.75/420,999.75 = 420,999.75/x
  3. Step 3: Cross multiply
    275,196.75x = 420,999.75 × 420,999.75
  4. Step 4: Simplify right side
    275,196.75x = 177,240,789,500.06
  5. Step 5: Solve for x
    x = 177,240,789,500.06/275,196.75
  6. Step 6: Final answer
    x = 644,051.17

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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.