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Finding the Third Proportional to 356,714 and 489,144

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Solution

The third proportional to 356,714 and 489,144 is: 670,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,714 : 489,144 = 489,144 : x
  2. Step 2: Convert to fraction form
    356,714/489,144 = 489,144/x
  3. Step 3: Cross multiply
    356,714x = 489,144 × 489,144
  4. Step 4: Simplify right side
    356,714x = 239,261,852,736
  5. Step 5: Solve for x
    x = 239,261,852,736/356,714
  6. Step 6: Final answer
    x = 670,738.61

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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.