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Finding the Third Proportional to 244,662 and 344,538

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Solution

The third proportional to 244,662 and 344,538 is: 485,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,662 : 344,538 = 344,538 : x
  2. Step 2: Convert to fraction form
    244,662/344,538 = 344,538/x
  3. Step 3: Cross multiply
    244,662x = 344,538 × 344,538
  4. Step 4: Simplify right side
    244,662x = 118,706,433,444
  5. Step 5: Solve for x
    x = 118,706,433,444/244,662
  6. Step 6: Final answer
    x = 485,185.41

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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.