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Finding the Third Proportional to 206,322 and 452,010

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Solution

The third proportional to 206,322 and 452,010 is: 990,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,322 : 452,010 = 452,010 : x
  2. Step 2: Convert to fraction form
    206,322/452,010 = 452,010/x
  3. Step 3: Cross multiply
    206,322x = 452,010 × 452,010
  4. Step 4: Simplify right side
    206,322x = 204,313,040,100
  5. Step 5: Solve for x
    x = 204,313,040,100/206,322
  6. Step 6: Final answer
    x = 990,262.99

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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.