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Finding the Third Proportional to 244,634 and 344,497

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Solution

The third proportional to 244,634 and 344,497 is: 485,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,634 : 344,497 = 344,497 : x
  2. Step 2: Convert to fraction form
    244,634/344,497 = 344,497/x
  3. Step 3: Cross multiply
    244,634x = 344,497 × 344,497
  4. Step 4: Simplify right side
    244,634x = 118,678,183,009
  5. Step 5: Solve for x
    x = 118,678,183,009/244,634
  6. Step 6: Final answer
    x = 485,125.47

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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.