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Finding the Third Proportional to 300,704 and 462,393

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Solution

The third proportional to 300,704 and 462,393 is: 711,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,704 : 462,393 = 462,393 : x
  2. Step 2: Convert to fraction form
    300,704/462,393 = 462,393/x
  3. Step 3: Cross multiply
    300,704x = 462,393 × 462,393
  4. Step 4: Simplify right side
    300,704x = 213,807,286,449
  5. Step 5: Solve for x
    x = 213,807,286,449/300,704
  6. Step 6: Final answer
    x = 711,022.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.