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Finding the Third Proportional to 224,232.75 and 483,684.75

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Solution

The third proportional to 224,232.75 and 483,684.75 is: 1,043,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,232.75 : 483,684.75 = 483,684.75 : x
  2. Step 2: Convert to fraction form
    224,232.75/483,684.75 = 483,684.75/x
  3. Step 3: Cross multiply
    224,232.75x = 483,684.75 × 483,684.75
  4. Step 4: Simplify right side
    224,232.75x = 233,950,937,382.56
  5. Step 5: Solve for x
    x = 233,950,937,382.56/224,232.75
  6. Step 6: Final answer
    x = 1,043,339.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.