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Finding the Third Proportional to 325,334 and 670,756

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Solution

The third proportional to 325,334 and 670,756 is: 1,382,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,334 : 670,756 = 670,756 : x
  2. Step 2: Convert to fraction form
    325,334/670,756 = 670,756/x
  3. Step 3: Cross multiply
    325,334x = 670,756 × 670,756
  4. Step 4: Simplify right side
    325,334x = 449,913,611,536
  5. Step 5: Solve for x
    x = 449,913,611,536/325,334
  6. Step 6: Final answer
    x = 1,382,928.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.