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Finding the Third Proportional to 223,220 and 490,666

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Solution

The third proportional to 223,220 and 490,666 is: 1,078,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,220 : 490,666 = 490,666 : x
  2. Step 2: Convert to fraction form
    223,220/490,666 = 490,666/x
  3. Step 3: Cross multiply
    223,220x = 490,666 × 490,666
  4. Step 4: Simplify right side
    223,220x = 240,753,123,556
  5. Step 5: Solve for x
    x = 240,753,123,556/223,220
  6. Step 6: Final answer
    x = 1,078,546.38

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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.