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Finding the Third Proportional to 227,940 and 490,935

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Solution

The third proportional to 227,940 and 490,935 is: 1,057,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,940 : 490,935 = 490,935 : x
  2. Step 2: Convert to fraction form
    227,940/490,935 = 490,935/x
  3. Step 3: Cross multiply
    227,940x = 490,935 × 490,935
  4. Step 4: Simplify right side
    227,940x = 241,017,174,225
  5. Step 5: Solve for x
    x = 241,017,174,225/227,940
  6. Step 6: Final answer
    x = 1,057,371.12

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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.