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Finding the Third Proportional to 301,463 and 479,870

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Solution

The third proportional to 301,463 and 479,870 is: 763,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,463 : 479,870 = 479,870 : x
  2. Step 2: Convert to fraction form
    301,463/479,870 = 479,870/x
  3. Step 3: Cross multiply
    301,463x = 479,870 × 479,870
  4. Step 4: Simplify right side
    301,463x = 230,275,216,900
  5. Step 5: Solve for x
    x = 230,275,216,900/301,463
  6. Step 6: Final answer
    x = 763,858.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.