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Finding the Third Proportional to 323,256 and 705,252

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Solution

The third proportional to 323,256 and 705,252 is: 1,538,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,256 : 705,252 = 705,252 : x
  2. Step 2: Convert to fraction form
    323,256/705,252 = 705,252/x
  3. Step 3: Cross multiply
    323,256x = 705,252 × 705,252
  4. Step 4: Simplify right side
    323,256x = 497,380,383,504
  5. Step 5: Solve for x
    x = 497,380,383,504/323,256
  6. Step 6: Final answer
    x = 1,538,657.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.