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Finding the Third Proportional to 224,082 and 490,120

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Solution

The third proportional to 224,082 and 490,120 is: 1,072,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,082 : 490,120 = 490,120 : x
  2. Step 2: Convert to fraction form
    224,082/490,120 = 490,120/x
  3. Step 3: Cross multiply
    224,082x = 490,120 × 490,120
  4. Step 4: Simplify right side
    224,082x = 240,217,614,400
  5. Step 5: Solve for x
    x = 240,217,614,400/224,082
  6. Step 6: Final answer
    x = 1,072,007.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.