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Finding the Third Proportional to 244,737 and 344,649

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Solution

The third proportional to 244,737 and 344,649 is: 485,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,737 : 344,649 = 344,649 : x
  2. Step 2: Convert to fraction form
    244,737/344,649 = 344,649/x
  3. Step 3: Cross multiply
    244,737x = 344,649 × 344,649
  4. Step 4: Simplify right side
    244,737x = 118,782,933,201
  5. Step 5: Solve for x
    x = 118,782,933,201/244,737
  6. Step 6: Final answer
    x = 485,349.31

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Why These Related Problems?

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