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Finding the Third Proportional to 208,758 and 454,764

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Solution

The third proportional to 208,758 and 454,764 is: 990,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,758 : 454,764 = 454,764 : x
  2. Step 2: Convert to fraction form
    208,758/454,764 = 454,764/x
  3. Step 3: Cross multiply
    208,758x = 454,764 × 454,764
  4. Step 4: Simplify right side
    208,758x = 206,810,295,696
  5. Step 5: Solve for x
    x = 206,810,295,696/208,758
  6. Step 6: Final answer
    x = 990,670.04

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Why These Related Problems?

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