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Finding the Third Proportional to 206,522 and 451,924

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Solution

The third proportional to 206,522 and 451,924 is: 988,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,522 : 451,924 = 451,924 : x
  2. Step 2: Convert to fraction form
    206,522/451,924 = 451,924/x
  3. Step 3: Cross multiply
    206,522x = 451,924 × 451,924
  4. Step 4: Simplify right side
    206,522x = 204,235,301,776
  5. Step 5: Solve for x
    x = 204,235,301,776/206,522
  6. Step 6: Final answer
    x = 988,927.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.