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Finding the Third Proportional to 218,343 and 462,930

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Solution

The third proportional to 218,343 and 462,930 is: 981,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,343 : 462,930 = 462,930 : x
  2. Step 2: Convert to fraction form
    218,343/462,930 = 462,930/x
  3. Step 3: Cross multiply
    218,343x = 462,930 × 462,930
  4. Step 4: Simplify right side
    218,343x = 214,304,184,900
  5. Step 5: Solve for x
    x = 214,304,184,900/218,343
  6. Step 6: Final answer
    x = 981,502.43

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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.