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Finding the Third Proportional to 203,514.75 and 447,628.50

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Solution

The third proportional to 203,514.75 and 447,628.50 is: 984,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,514.75 : 447,628.50 = 447,628.50 : x
  2. Step 2: Convert to fraction form
    203,514.75/447,628.50 = 447,628.50/x
  3. Step 3: Cross multiply
    203,514.75x = 447,628.50 × 447,628.50
  4. Step 4: Simplify right side
    203,514.75x = 200,371,274,012.25
  5. Step 5: Solve for x
    x = 200,371,274,012.25/203,514.75
  6. Step 6: Final answer
    x = 984,554.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.