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Finding the Third Proportional to 322,424 and 703,132

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Solution

The third proportional to 322,424 and 703,132 is: 1,533,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,424 : 703,132 = 703,132 : x
  2. Step 2: Convert to fraction form
    322,424/703,132 = 703,132/x
  3. Step 3: Cross multiply
    322,424x = 703,132 × 703,132
  4. Step 4: Simplify right side
    322,424x = 494,394,609,424
  5. Step 5: Solve for x
    x = 494,394,609,424/322,424
  6. Step 6: Final answer
    x = 1,533,367.89

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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.