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Finding the Third Proportional to 208,284.75 and 454,668.19

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Solution

The third proportional to 208,284.75 and 454,668.19 is: 992,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,284.75 : 454,668.19 = 454,668.19 : x
  2. Step 2: Convert to fraction form
    208,284.75/454,668.19 = 454,668.19/x
  3. Step 3: Cross multiply
    208,284.75x = 454,668.19 × 454,668.19
  4. Step 4: Simplify right side
    208,284.75x = 206,723,160,724.54
  5. Step 5: Solve for x
    x = 206,723,160,724.54/208,284.75
  6. Step 6: Final answer
    x = 992,502.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.