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Finding the Third Proportional to 356,770 and 489,228

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Solution

The third proportional to 356,770 and 489,228 is: 670,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,770 : 489,228 = 489,228 : x
  2. Step 2: Convert to fraction form
    356,770/489,228 = 489,228/x
  3. Step 3: Cross multiply
    356,770x = 489,228 × 489,228
  4. Step 4: Simplify right side
    356,770x = 239,344,035,984
  5. Step 5: Solve for x
    x = 239,344,035,984/356,770
  6. Step 6: Final answer
    x = 670,863.68

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