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Finding the Third Proportional to 209,084 and 451,696

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Solution

The third proportional to 209,084 and 451,696 is: 975,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,084 : 451,696 = 451,696 : x
  2. Step 2: Convert to fraction form
    209,084/451,696 = 451,696/x
  3. Step 3: Cross multiply
    209,084x = 451,696 × 451,696
  4. Step 4: Simplify right side
    209,084x = 204,029,276,416
  5. Step 5: Solve for x
    x = 204,029,276,416/209,084
  6. Step 6: Final answer
    x = 975,824.44

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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.