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Finding the Third Proportional to 323,298 and 703,266

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Solution

The third proportional to 323,298 and 703,266 is: 1,529,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,298 : 703,266 = 703,266 : x
  2. Step 2: Convert to fraction form
    323,298/703,266 = 703,266/x
  3. Step 3: Cross multiply
    323,298x = 703,266 × 703,266
  4. Step 4: Simplify right side
    323,298x = 494,583,066,756
  5. Step 5: Solve for x
    x = 494,583,066,756/323,298
  6. Step 6: Final answer
    x = 1,529,805.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.