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Finding the Third Proportional to 322,406 and 498,736

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Solution

The third proportional to 322,406 and 498,736 is: 771,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406 : 498,736 = 498,736 : x
  2. Step 2: Convert to fraction form
    322,406/498,736 = 498,736/x
  3. Step 3: Cross multiply
    322,406x = 498,736 × 498,736
  4. Step 4: Simplify right side
    322,406x = 248,737,597,696
  5. Step 5: Solve for x
    x = 248,737,597,696/322,406
  6. Step 6: Final answer
    x = 771,504.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.