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Finding the Third Proportional to 233,780 and 330,794

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Solution

The third proportional to 233,780 and 330,794 is: 468,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,780 : 330,794 = 330,794 : x
  2. Step 2: Convert to fraction form
    233,780/330,794 = 330,794/x
  3. Step 3: Cross multiply
    233,780x = 330,794 × 330,794
  4. Step 4: Simplify right side
    233,780x = 109,424,670,436
  5. Step 5: Solve for x
    x = 109,424,670,436/233,780
  6. Step 6: Final answer
    x = 468,066.86

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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.