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Finding the Third Proportional to 211,542 and 461,670

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Solution

The third proportional to 211,542 and 461,670 is: 1,007,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,542 : 461,670 = 461,670 : x
  2. Step 2: Convert to fraction form
    211,542/461,670 = 461,670/x
  3. Step 3: Cross multiply
    211,542x = 461,670 × 461,670
  4. Step 4: Simplify right side
    211,542x = 213,139,188,900
  5. Step 5: Solve for x
    x = 213,139,188,900/211,542
  6. Step 6: Final answer
    x = 1,007,550.22

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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.