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Finding the Third Proportional to 225,612 and 490,104

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Solution

The third proportional to 225,612 and 490,104 is: 1,064,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,612 : 490,104 = 490,104 : x
  2. Step 2: Convert to fraction form
    225,612/490,104 = 490,104/x
  3. Step 3: Cross multiply
    225,612x = 490,104 × 490,104
  4. Step 4: Simplify right side
    225,612x = 240,201,930,816
  5. Step 5: Solve for x
    x = 240,201,930,816/225,612
  6. Step 6: Final answer
    x = 1,064,668.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.