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Finding the Third Proportional to 225,796 and 490,466

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Solution

The third proportional to 225,796 and 490,466 is: 1,065,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,796 : 490,466 = 490,466 : x
  2. Step 2: Convert to fraction form
    225,796/490,466 = 490,466/x
  3. Step 3: Cross multiply
    225,796x = 490,466 × 490,466
  4. Step 4: Simplify right side
    225,796x = 240,556,897,156
  5. Step 5: Solve for x
    x = 240,556,897,156/225,796
  6. Step 6: Final answer
    x = 1,065,372.71

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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.