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Finding the Third Proportional to 322,419 and 703,122

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Solution

The third proportional to 322,419 and 703,122 is: 1,533,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,419 : 703,122 = 703,122 : x
  2. Step 2: Convert to fraction form
    322,419/703,122 = 703,122/x
  3. Step 3: Cross multiply
    322,419x = 703,122 × 703,122
  4. Step 4: Simplify right side
    322,419x = 494,380,546,884
  5. Step 5: Solve for x
    x = 494,380,546,884/322,419
  6. Step 6: Final answer
    x = 1,533,348.06

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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.