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Finding the Third Proportional to 212,407.31 and 461,791.13

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Solution

The third proportional to 212,407.31 and 461,791.13 is: 1,003,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,407.31 : 461,791.13 = 461,791.13 : x
  2. Step 2: Convert to fraction form
    212,407.31/461,791.13 = 461,791.13/x
  3. Step 3: Cross multiply
    212,407.31x = 461,791.13 × 461,791.13
  4. Step 4: Simplify right side
    212,407.31x = 213,251,043,128.77
  5. Step 5: Solve for x
    x = 213,251,043,128.77/212,407.31
  6. Step 6: Final answer
    x = 1,003,972.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.