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Finding the Third Proportional to 323,396 and 703,418

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Solution

The third proportional to 323,396 and 703,418 is: 1,530,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,396 : 703,418 = 703,418 : x
  2. Step 2: Convert to fraction form
    323,396/703,418 = 703,418/x
  3. Step 3: Cross multiply
    323,396x = 703,418 × 703,418
  4. Step 4: Simplify right side
    323,396x = 494,796,882,724
  5. Step 5: Solve for x
    x = 494,796,882,724/323,396
  6. Step 6: Final answer
    x = 1,530,003.10

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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.