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Finding the Third Proportional to 361,790 and 733,432

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Solution

The third proportional to 361,790 and 733,432 is: 1,486,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,790 : 733,432 = 733,432 : x
  2. Step 2: Convert to fraction form
    361,790/733,432 = 733,432/x
  3. Step 3: Cross multiply
    361,790x = 733,432 × 733,432
  4. Step 4: Simplify right side
    361,790x = 537,922,498,624
  5. Step 5: Solve for x
    x = 537,922,498,624/361,790
  6. Step 6: Final answer
    x = 1,486,836.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.