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Finding the Third Proportional to 232,704 and 355,824

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Solution

The third proportional to 232,704 and 355,824 is: 544,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 355,824 = 355,824 : x
  2. Step 2: Convert to fraction form
    232,704/355,824 = 355,824/x
  3. Step 3: Cross multiply
    232,704x = 355,824 × 355,824
  4. Step 4: Simplify right side
    232,704x = 126,610,718,976
  5. Step 5: Solve for x
    x = 126,610,718,976/232,704
  6. Step 6: Final answer
    x = 544,084.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.