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Finding the Third Proportional to 336,867 and 492,736

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Solution

The third proportional to 336,867 and 492,736 is: 720,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,867 : 492,736 = 492,736 : x
  2. Step 2: Convert to fraction form
    336,867/492,736 = 492,736/x
  3. Step 3: Cross multiply
    336,867x = 492,736 × 492,736
  4. Step 4: Simplify right side
    336,867x = 242,788,765,696
  5. Step 5: Solve for x
    x = 242,788,765,696/336,867
  6. Step 6: Final answer
    x = 720,725.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.