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Finding the Third Proportional to 285,183 and 398,727

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Solution

The third proportional to 285,183 and 398,727 is: 557,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,183 : 398,727 = 398,727 : x
  2. Step 2: Convert to fraction form
    285,183/398,727 = 398,727/x
  3. Step 3: Cross multiply
    285,183x = 398,727 × 398,727
  4. Step 4: Simplify right side
    285,183x = 158,983,220,529
  5. Step 5: Solve for x
    x = 158,983,220,529/285,183
  6. Step 6: Final answer
    x = 557,477.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.