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Finding the Third Proportional to 213,966 and 451,808

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Solution

The third proportional to 213,966 and 451,808 is: 954,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,966 : 451,808 = 451,808 : x
  2. Step 2: Convert to fraction form
    213,966/451,808 = 451,808/x
  3. Step 3: Cross multiply
    213,966x = 451,808 × 451,808
  4. Step 4: Simplify right side
    213,966x = 204,130,468,864
  5. Step 5: Solve for x
    x = 204,130,468,864/213,966
  6. Step 6: Final answer
    x = 954,032.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.