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Finding the Third Proportional to 225,834.75 and 490,668.75

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Solution

The third proportional to 225,834.75 and 490,668.75 is: 1,066,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,834.75 : 490,668.75 = 490,668.75 : x
  2. Step 2: Convert to fraction form
    225,834.75/490,668.75 = 490,668.75/x
  3. Step 3: Cross multiply
    225,834.75x = 490,668.75 × 490,668.75
  4. Step 4: Simplify right side
    225,834.75x = 240,755,822,226.56
  5. Step 5: Solve for x
    x = 240,755,822,226.56/225,834.75
  6. Step 6: Final answer
    x = 1,066,070.75

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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.