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Finding the Third Proportional to 208,084 and 454,696

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Solution

The third proportional to 208,084 and 454,696 is: 993,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,084 : 454,696 = 454,696 : x
  2. Step 2: Convert to fraction form
    208,084/454,696 = 454,696/x
  3. Step 3: Cross multiply
    208,084x = 454,696 × 454,696
  4. Step 4: Simplify right side
    208,084x = 206,748,452,416
  5. Step 5: Solve for x
    x = 206,748,452,416/208,084
  6. Step 6: Final answer
    x = 993,581.69

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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.