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Finding the Third Proportional to 225,826 and 490,651

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Solution

The third proportional to 225,826 and 490,651 is: 1,066,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,826 : 490,651 = 490,651 : x
  2. Step 2: Convert to fraction form
    225,826/490,651 = 490,651/x
  3. Step 3: Cross multiply
    225,826x = 490,651 × 490,651
  4. Step 4: Simplify right side
    225,826x = 240,738,403,801
  5. Step 5: Solve for x
    x = 240,738,403,801/225,826
  6. Step 6: Final answer
    x = 1,066,034.93

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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.