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Finding the Third Proportional to 209,663 and 452,698

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Solution

The third proportional to 209,663 and 452,698 is: 977,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,663 : 452,698 = 452,698 : x
  2. Step 2: Convert to fraction form
    209,663/452,698 = 452,698/x
  3. Step 3: Cross multiply
    209,663x = 452,698 × 452,698
  4. Step 4: Simplify right side
    209,663x = 204,935,479,204
  5. Step 5: Solve for x
    x = 204,935,479,204/209,663
  6. Step 6: Final answer
    x = 977,451.81

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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.