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Finding the Third Proportional to 205,763.63 and 449,232.75

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Solution

The third proportional to 205,763.63 and 449,232.75 is: 980,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,763.63 : 449,232.75 = 449,232.75 : x
  2. Step 2: Convert to fraction form
    205,763.63/449,232.75 = 449,232.75/x
  3. Step 3: Cross multiply
    205,763.63x = 449,232.75 × 449,232.75
  4. Step 4: Simplify right side
    205,763.63x = 201,810,063,672.56
  5. Step 5: Solve for x
    x = 201,810,063,672.56/205,763.63
  6. Step 6: Final answer
    x = 980,785.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.