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Finding the Third Proportional to 327,904 and 773,752

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Solution

The third proportional to 327,904 and 773,752 is: 1,825,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,904 : 773,752 = 773,752 : x
  2. Step 2: Convert to fraction form
    327,904/773,752 = 773,752/x
  3. Step 3: Cross multiply
    327,904x = 773,752 × 773,752
  4. Step 4: Simplify right side
    327,904x = 598,692,157,504
  5. Step 5: Solve for x
    x = 598,692,157,504/327,904
  6. Step 6: Final answer
    x = 1,825,815.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.