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Finding the Third Proportional to 209,661 and 452,694

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Solution

The third proportional to 209,661 and 452,694 is: 977,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,661 : 452,694 = 452,694 : x
  2. Step 2: Convert to fraction form
    209,661/452,694 = 452,694/x
  3. Step 3: Cross multiply
    209,661x = 452,694 × 452,694
  4. Step 4: Simplify right side
    209,661x = 204,931,857,636
  5. Step 5: Solve for x
    x = 204,931,857,636/209,661
  6. Step 6: Final answer
    x = 977,443.86

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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.