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Finding the Third Proportional to 356,781 and 489,249

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Solution

The third proportional to 356,781 and 489,249 is: 670,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,781 : 489,249 = 489,249 : x
  2. Step 2: Convert to fraction form
    356,781/489,249 = 489,249/x
  3. Step 3: Cross multiply
    356,781x = 489,249 × 489,249
  4. Step 4: Simplify right side
    356,781x = 239,364,584,001
  5. Step 5: Solve for x
    x = 239,364,584,001/356,781
  6. Step 6: Final answer
    x = 670,900.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.