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Finding the Third Proportional to 203,734 and 442,497

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Solution

The third proportional to 203,734 and 442,497 is: 961,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,734 : 442,497 = 442,497 : x
  2. Step 2: Convert to fraction form
    203,734/442,497 = 442,497/x
  3. Step 3: Cross multiply
    203,734x = 442,497 × 442,497
  4. Step 4: Simplify right side
    203,734x = 195,803,595,009
  5. Step 5: Solve for x
    x = 195,803,595,009/203,734
  6. Step 6: Final answer
    x = 961,074.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.