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Finding the Third Proportional to 323,768 and 660,384

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Solution

The third proportional to 323,768 and 660,384 is: 1,346,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,768 : 660,384 = 660,384 : x
  2. Step 2: Convert to fraction form
    323,768/660,384 = 660,384/x
  3. Step 3: Cross multiply
    323,768x = 660,384 × 660,384
  4. Step 4: Simplify right side
    323,768x = 436,107,027,456
  5. Step 5: Solve for x
    x = 436,107,027,456/323,768
  6. Step 6: Final answer
    x = 1,346,973.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.