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Finding the Third Proportional to 322,114 and 727,744

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Solution

The third proportional to 322,114 and 727,744 is: 1,644,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,114 : 727,744 = 727,744 : x
  2. Step 2: Convert to fraction form
    322,114/727,744 = 727,744/x
  3. Step 3: Cross multiply
    322,114x = 727,744 × 727,744
  4. Step 4: Simplify right side
    322,114x = 529,611,329,536
  5. Step 5: Solve for x
    x = 529,611,329,536/322,114
  6. Step 6: Final answer
    x = 1,644,173.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.