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Finding the Third Proportional to 269,370.75 and 589,224.75

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Solution

The third proportional to 269,370.75 and 589,224.75 is: 1,288,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,370.75 : 589,224.75 = 589,224.75 : x
  2. Step 2: Convert to fraction form
    269,370.75/589,224.75 = 589,224.75/x
  3. Step 3: Cross multiply
    269,370.75x = 589,224.75 × 589,224.75
  4. Step 4: Simplify right side
    269,370.75x = 347,185,806,012.56
  5. Step 5: Solve for x
    x = 347,185,806,012.56/269,370.75
  6. Step 6: Final answer
    x = 1,288,877.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.