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Finding the Third Proportional to 208,326 and 448,296

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Solution

The third proportional to 208,326 and 448,296 is: 964,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,326 : 448,296 = 448,296 : x
  2. Step 2: Convert to fraction form
    208,326/448,296 = 448,296/x
  3. Step 3: Cross multiply
    208,326x = 448,296 × 448,296
  4. Step 4: Simplify right side
    208,326x = 200,969,303,616
  5. Step 5: Solve for x
    x = 200,969,303,616/208,326
  6. Step 6: Final answer
    x = 964,686.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.