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Finding the Third Proportional to 207,664 and 451,784

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Solution

The third proportional to 207,664 and 451,784 is: 982,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,664 : 451,784 = 451,784 : x
  2. Step 2: Convert to fraction form
    207,664/451,784 = 451,784/x
  3. Step 3: Cross multiply
    207,664x = 451,784 × 451,784
  4. Step 4: Simplify right side
    207,664x = 204,108,782,656
  5. Step 5: Solve for x
    x = 204,108,782,656/207,664
  6. Step 6: Final answer
    x = 982,879.95

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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.