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Finding the Third Proportional to 217,963.50 and 461,856

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Solution

The third proportional to 217,963.50 and 461,856 is: 978,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,963.50 : 461,856 = 461,856 : x
  2. Step 2: Convert to fraction form
    217,963.50/461,856 = 461,856/x
  3. Step 3: Cross multiply
    217,963.50x = 461,856 × 461,856
  4. Step 4: Simplify right side
    217,963.50x = 213,310,964,736
  5. Step 5: Solve for x
    x = 213,310,964,736/217,963.50
  6. Step 6: Final answer
    x = 978,654.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.