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Finding the Third Proportional to 213,682 and 455,966

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Solution

The third proportional to 213,682 and 455,966 is: 972,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,682 : 455,966 = 455,966 : x
  2. Step 2: Convert to fraction form
    213,682/455,966 = 455,966/x
  3. Step 3: Cross multiply
    213,682x = 455,966 × 455,966
  4. Step 4: Simplify right side
    213,682x = 207,904,993,156
  5. Step 5: Solve for x
    x = 207,904,993,156/213,682
  6. Step 6: Final answer
    x = 972,964.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.