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Finding the Third Proportional to 363,538 and 773,732

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Solution

The third proportional to 363,538 and 773,732 is: 1,646,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,538 : 773,732 = 773,732 : x
  2. Step 2: Convert to fraction form
    363,538/773,732 = 773,732/x
  3. Step 3: Cross multiply
    363,538x = 773,732 × 773,732
  4. Step 4: Simplify right side
    363,538x = 598,661,207,824
  5. Step 5: Solve for x
    x = 598,661,207,824/363,538
  6. Step 6: Final answer
    x = 1,646,763.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.