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Finding the Third Proportional to 208,631 and 450,517

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Solution

The third proportional to 208,631 and 450,517 is: 972,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,631 : 450,517 = 450,517 : x
  2. Step 2: Convert to fraction form
    208,631/450,517 = 450,517/x
  3. Step 3: Cross multiply
    208,631x = 450,517 × 450,517
  4. Step 4: Simplify right side
    208,631x = 202,965,567,289
  5. Step 5: Solve for x
    x = 202,965,567,289/208,631
  6. Step 6: Final answer
    x = 972,844.72

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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.