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Finding the Third Proportional to 244,210 and 419,748

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Solution

The third proportional to 244,210 and 419,748 is: 721,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,210 : 419,748 = 419,748 : x
  2. Step 2: Convert to fraction form
    244,210/419,748 = 419,748/x
  3. Step 3: Cross multiply
    244,210x = 419,748 × 419,748
  4. Step 4: Simplify right side
    244,210x = 176,188,383,504
  5. Step 5: Solve for x
    x = 176,188,383,504/244,210
  6. Step 6: Final answer
    x = 721,462.61

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.