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Finding the Third Proportional to 224,850.94 and 483,053.63

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Solution

The third proportional to 224,850.94 and 483,053.63 is: 1,037,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,850.94 : 483,053.63 = 483,053.63 : x
  2. Step 2: Convert to fraction form
    224,850.94/483,053.63 = 483,053.63/x
  3. Step 3: Cross multiply
    224,850.94x = 483,053.63 × 483,053.63
  4. Step 4: Simplify right side
    224,850.94x = 233,340,804,625.64
  5. Step 5: Solve for x
    x = 233,340,804,625.64/224,850.94
  6. Step 6: Final answer
    x = 1,037,757.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.