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Finding the Third Proportional to 322,920 and 498,006

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Solution

The third proportional to 322,920 and 498,006 is: 768,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,920 : 498,006 = 498,006 : x
  2. Step 2: Convert to fraction form
    322,920/498,006 = 498,006/x
  3. Step 3: Cross multiply
    322,920x = 498,006 × 498,006
  4. Step 4: Simplify right side
    322,920x = 248,009,976,036
  5. Step 5: Solve for x
    x = 248,009,976,036/322,920
  6. Step 6: Final answer
    x = 768,022.97

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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.