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Finding the Third Proportional to 211,516.31 and 461,619

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Solution

The third proportional to 211,516.31 and 461,619 is: 1,007,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,516.31 : 461,619 = 461,619 : x
  2. Step 2: Convert to fraction form
    211,516.31/461,619 = 461,619/x
  3. Step 3: Cross multiply
    211,516.31x = 461,619 × 461,619
  4. Step 4: Simplify right side
    211,516.31x = 213,092,101,161
  5. Step 5: Solve for x
    x = 213,092,101,161/211,516.31
  6. Step 6: Final answer
    x = 1,007,449.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.