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Finding the Third Proportional to 322,919 and 498,005

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Solution

The third proportional to 322,919 and 498,005 is: 768,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,919 : 498,005 = 498,005 : x
  2. Step 2: Convert to fraction form
    322,919/498,005 = 498,005/x
  3. Step 3: Cross multiply
    322,919x = 498,005 × 498,005
  4. Step 4: Simplify right side
    322,919x = 248,008,980,025
  5. Step 5: Solve for x
    x = 248,008,980,025/322,919
  6. Step 6: Final answer
    x = 768,022.26

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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.