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Finding the Third Proportional to 224,228.25 and 483,674.63

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Solution

The third proportional to 224,228.25 and 483,674.63 is: 1,043,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,228.25 : 483,674.63 = 483,674.63 : x
  2. Step 2: Convert to fraction form
    224,228.25/483,674.63 = 483,674.63/x
  3. Step 3: Cross multiply
    224,228.25x = 483,674.63 × 483,674.63
  4. Step 4: Simplify right side
    224,228.25x = 233,941,142,868.89
  5. Step 5: Solve for x
    x = 233,941,142,868.89/224,228.25
  6. Step 6: Final answer
    x = 1,043,316.99

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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.