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Finding the Third Proportional to 244,636 and 344,500

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Solution

The third proportional to 244,636 and 344,500 is: 485,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,636 : 344,500 = 344,500 : x
  2. Step 2: Convert to fraction form
    244,636/344,500 = 344,500/x
  3. Step 3: Cross multiply
    244,636x = 344,500 × 344,500
  4. Step 4: Simplify right side
    244,636x = 118,680,250,000
  5. Step 5: Solve for x
    x = 118,680,250,000/244,636
  6. Step 6: Final answer
    x = 485,129.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.