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Finding the Third Proportional to 209,554 and 452,317

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Solution

The third proportional to 209,554 and 452,317 is: 976,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,554 : 452,317 = 452,317 : x
  2. Step 2: Convert to fraction form
    209,554/452,317 = 452,317/x
  3. Step 3: Cross multiply
    209,554x = 452,317 × 452,317
  4. Step 4: Simplify right side
    209,554x = 204,590,668,489
  5. Step 5: Solve for x
    x = 204,590,668,489/209,554
  6. Step 6: Final answer
    x = 976,314.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.