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Finding the Third Proportional to 208,668 and 449,784

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Solution

The third proportional to 208,668 and 449,784 is: 969,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,668 : 449,784 = 449,784 : x
  2. Step 2: Convert to fraction form
    208,668/449,784 = 449,784/x
  3. Step 3: Cross multiply
    208,668x = 449,784 × 449,784
  4. Step 4: Simplify right side
    208,668x = 202,305,646,656
  5. Step 5: Solve for x
    x = 202,305,646,656/208,668
  6. Step 6: Final answer
    x = 969,509.68

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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.