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Finding the Third Proportional to 321,976 and 703,784

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Solution

The third proportional to 321,976 and 703,784 is: 1,538,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,976 : 703,784 = 703,784 : x
  2. Step 2: Convert to fraction form
    321,976/703,784 = 703,784/x
  3. Step 3: Cross multiply
    321,976x = 703,784 × 703,784
  4. Step 4: Simplify right side
    321,976x = 495,311,918,656
  5. Step 5: Solve for x
    x = 495,311,918,656/321,976
  6. Step 6: Final answer
    x = 1,538,350.43

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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.