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Finding the Third Proportional to 206,093 and 452,038

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Solution

The third proportional to 206,093 and 452,038 is: 991,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,093 : 452,038 = 452,038 : x
  2. Step 2: Convert to fraction form
    206,093/452,038 = 452,038/x
  3. Step 3: Cross multiply
    206,093x = 452,038 × 452,038
  4. Step 4: Simplify right side
    206,093x = 204,338,353,444
  5. Step 5: Solve for x
    x = 204,338,353,444/206,093
  6. Step 6: Final answer
    x = 991,486.14

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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.