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Finding the Third Proportional to 223,806 and 486,962

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Solution

The third proportional to 223,806 and 486,962 is: 1,059,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,806 : 486,962 = 486,962 : x
  2. Step 2: Convert to fraction form
    223,806/486,962 = 486,962/x
  3. Step 3: Cross multiply
    223,806x = 486,962 × 486,962
  4. Step 4: Simplify right side
    223,806x = 237,131,989,444
  5. Step 5: Solve for x
    x = 237,131,989,444/223,806
  6. Step 6: Final answer
    x = 1,059,542.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.