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Finding the Third Proportional to 385,876 and 827,125

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Solution

The third proportional to 385,876 and 827,125 is: 1,772,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,876 : 827,125 = 827,125 : x
  2. Step 2: Convert to fraction form
    385,876/827,125 = 827,125/x
  3. Step 3: Cross multiply
    385,876x = 827,125 × 827,125
  4. Step 4: Simplify right side
    385,876x = 684,135,765,625
  5. Step 5: Solve for x
    x = 684,135,765,625/385,876
  6. Step 6: Final answer
    x = 1,772,942.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.