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Finding the Third Proportional to 321,966 and 703,764

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Solution

The third proportional to 321,966 and 703,764 is: 1,538,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,966 : 703,764 = 703,764 : x
  2. Step 2: Convert to fraction form
    321,966/703,764 = 703,764/x
  3. Step 3: Cross multiply
    321,966x = 703,764 × 703,764
  4. Step 4: Simplify right side
    321,966x = 495,283,767,696
  5. Step 5: Solve for x
    x = 495,283,767,696/321,966
  6. Step 6: Final answer
    x = 1,538,310.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.