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Finding the Third Proportional to 208,950 and 452,892

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Solution

The third proportional to 208,950 and 452,892 is: 981,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,950 : 452,892 = 452,892 : x
  2. Step 2: Convert to fraction form
    208,950/452,892 = 452,892/x
  3. Step 3: Cross multiply
    208,950x = 452,892 × 452,892
  4. Step 4: Simplify right side
    208,950x = 205,111,163,664
  5. Step 5: Solve for x
    x = 205,111,163,664/208,950
  6. Step 6: Final answer
    x = 981,627.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.