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Finding the Third Proportional to 209,098 and 452,756

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Solution

The third proportional to 209,098 and 452,756 is: 980,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,098 : 452,756 = 452,756 : x
  2. Step 2: Convert to fraction form
    209,098/452,756 = 452,756/x
  3. Step 3: Cross multiply
    209,098x = 452,756 × 452,756
  4. Step 4: Simplify right side
    209,098x = 204,987,995,536
  5. Step 5: Solve for x
    x = 204,987,995,536/209,098
  6. Step 6: Final answer
    x = 980,344.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.