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Finding the Third Proportional to 385,016 and 927,544

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Solution

The third proportional to 385,016 and 927,544 is: 2,234,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,016 : 927,544 = 927,544 : x
  2. Step 2: Convert to fraction form
    385,016/927,544 = 927,544/x
  3. Step 3: Cross multiply
    385,016x = 927,544 × 927,544
  4. Step 4: Simplify right side
    385,016x = 860,337,871,936
  5. Step 5: Solve for x
    x = 860,337,871,936/385,016
  6. Step 6: Final answer
    x = 2,234,550.96

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.