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Finding the Third Proportional to 211,639 and 451,982

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Solution

The third proportional to 211,639 and 451,982 is: 965,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,639 : 451,982 = 451,982 : x
  2. Step 2: Convert to fraction form
    211,639/451,982 = 451,982/x
  3. Step 3: Cross multiply
    211,639x = 451,982 × 451,982
  4. Step 4: Simplify right side
    211,639x = 204,287,728,324
  5. Step 5: Solve for x
    x = 204,287,728,324/211,639
  6. Step 6: Final answer
    x = 965,265.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.