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Finding the Third Proportional to 207,703.13 and 489,012.75

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Solution

The third proportional to 207,703.13 and 489,012.75 is: 1,151,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,703.13 : 489,012.75 = 489,012.75 : x
  2. Step 2: Convert to fraction form
    207,703.13/489,012.75 = 489,012.75/x
  3. Step 3: Cross multiply
    207,703.13x = 489,012.75 × 489,012.75
  4. Step 4: Simplify right side
    207,703.13x = 239,133,469,662.56
  5. Step 5: Solve for x
    x = 239,133,469,662.56/207,703.13
  6. Step 6: Final answer
    x = 1,151,323.41

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.