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Finding the Third Proportional to 206,336 and 452,038

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Solution

The third proportional to 206,336 and 452,038 is: 990,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,336 : 452,038 = 452,038 : x
  2. Step 2: Convert to fraction form
    206,336/452,038 = 452,038/x
  3. Step 3: Cross multiply
    206,336x = 452,038 × 452,038
  4. Step 4: Simplify right side
    206,336x = 204,338,353,444
  5. Step 5: Solve for x
    x = 204,338,353,444/206,336
  6. Step 6: Final answer
    x = 990,318.48

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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.