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Finding the Third Proportional to 224,853.05 and 483,057.84

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Solution

The third proportional to 224,853.05 and 483,057.84 is: 1,037,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,853.05 : 483,057.84 = 483,057.84 : x
  2. Step 2: Convert to fraction form
    224,853.05/483,057.84 = 483,057.84/x
  3. Step 3: Cross multiply
    224,853.05x = 483,057.84 × 483,057.84
  4. Step 4: Simplify right side
    224,853.05x = 233,344,880,408.40
  5. Step 5: Solve for x
    x = 233,344,880,408.40/224,853.05
  6. Step 6: Final answer
    x = 1,037,766.15

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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.