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Finding the Third Proportional to 223,144 and 490,514

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Solution

The third proportional to 223,144 and 490,514 is: 1,078,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,144 : 490,514 = 490,514 : x
  2. Step 2: Convert to fraction form
    223,144/490,514 = 490,514/x
  3. Step 3: Cross multiply
    223,144x = 490,514 × 490,514
  4. Step 4: Simplify right side
    223,144x = 240,603,984,196
  5. Step 5: Solve for x
    x = 240,603,984,196/223,144
  6. Step 6: Final answer
    x = 1,078,245.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.