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Finding the Third Proportional to 301,459 and 479,863

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Solution

The third proportional to 301,459 and 479,863 is: 763,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,459 : 479,863 = 479,863 : x
  2. Step 2: Convert to fraction form
    301,459/479,863 = 479,863/x
  3. Step 3: Cross multiply
    301,459x = 479,863 × 479,863
  4. Step 4: Simplify right side
    301,459x = 230,268,498,769
  5. Step 5: Solve for x
    x = 230,268,498,769/301,459
  6. Step 6: Final answer
    x = 763,846.82

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Why These Related Problems?

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