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Finding the Third Proportional to 217,936.50 and 461,841

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Solution

The third proportional to 217,936.50 and 461,841 is: 978,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,936.50 : 461,841 = 461,841 : x
  2. Step 2: Convert to fraction form
    217,936.50/461,841 = 461,841/x
  3. Step 3: Cross multiply
    217,936.50x = 461,841 × 461,841
  4. Step 4: Simplify right side
    217,936.50x = 213,297,109,281
  5. Step 5: Solve for x
    x = 213,297,109,281/217,936.50
  6. Step 6: Final answer
    x = 978,712.19

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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.