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Finding the Third Proportional to 218,344.50 and 462,933

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Solution

The third proportional to 218,344.50 and 462,933 is: 981,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,344.50 : 462,933 = 462,933 : x
  2. Step 2: Convert to fraction form
    218,344.50/462,933 = 462,933/x
  3. Step 3: Cross multiply
    218,344.50x = 462,933 × 462,933
  4. Step 4: Simplify right side
    218,344.50x = 214,306,962,489
  5. Step 5: Solve for x
    x = 214,306,962,489/218,344.50
  6. Step 6: Final answer
    x = 981,508.41

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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.