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Finding the Third Proportional to 326,304 and 670,176

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Solution

The third proportional to 326,304 and 670,176 is: 1,376,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,304 : 670,176 = 670,176 : x
  2. Step 2: Convert to fraction form
    326,304/670,176 = 670,176/x
  3. Step 3: Cross multiply
    326,304x = 670,176 × 670,176
  4. Step 4: Simplify right side
    326,304x = 449,135,870,976
  5. Step 5: Solve for x
    x = 449,135,870,976/326,304
  6. Step 6: Final answer
    x = 1,376,433.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.