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Finding the Third Proportional to 322,291 and 701,930

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Solution

The third proportional to 322,291 and 701,930 is: 1,528,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,291 : 701,930 = 701,930 : x
  2. Step 2: Convert to fraction form
    322,291/701,930 = 701,930/x
  3. Step 3: Cross multiply
    322,291x = 701,930 × 701,930
  4. Step 4: Simplify right side
    322,291x = 492,705,724,900
  5. Step 5: Solve for x
    x = 492,705,724,900/322,291
  6. Step 6: Final answer
    x = 1,528,760.42

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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.