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Finding the Third Proportional to 323,736 and 660,312

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Solution

The third proportional to 323,736 and 660,312 is: 1,346,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,736 : 660,312 = 660,312 : x
  2. Step 2: Convert to fraction form
    323,736/660,312 = 660,312/x
  3. Step 3: Cross multiply
    323,736x = 660,312 × 660,312
  4. Step 4: Simplify right side
    323,736x = 436,011,937,344
  5. Step 5: Solve for x
    x = 436,011,937,344/323,736
  6. Step 6: Final answer
    x = 1,346,813.26

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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.