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Finding the Third Proportional to 236,452 and 332,562

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Solution

The third proportional to 236,452 and 332,562 is: 467,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,452 : 332,562 = 332,562 : x
  2. Step 2: Convert to fraction form
    236,452/332,562 = 332,562/x
  3. Step 3: Cross multiply
    236,452x = 332,562 × 332,562
  4. Step 4: Simplify right side
    236,452x = 110,597,483,844
  5. Step 5: Solve for x
    x = 110,597,483,844/236,452
  6. Step 6: Final answer
    x = 467,737.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.