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Finding the Third Proportional to 330,200 and 723,694

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Solution

The third proportional to 330,200 and 723,694 is: 1,586,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,200 : 723,694 = 723,694 : x
  2. Step 2: Convert to fraction form
    330,200/723,694 = 723,694/x
  3. Step 3: Cross multiply
    330,200x = 723,694 × 723,694
  4. Step 4: Simplify right side
    330,200x = 523,733,005,636
  5. Step 5: Solve for x
    x = 523,733,005,636/330,200
  6. Step 6: Final answer
    x = 1,586,108.44

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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.