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Finding the Third Proportional to 187,811 and 442,906

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Solution

The third proportional to 187,811 and 442,906 is: 1,044,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,811 : 442,906 = 442,906 : x
  2. Step 2: Convert to fraction form
    187,811/442,906 = 442,906/x
  3. Step 3: Cross multiply
    187,811x = 442,906 × 442,906
  4. Step 4: Simplify right side
    187,811x = 196,165,724,836
  5. Step 5: Solve for x
    x = 196,165,724,836/187,811
  6. Step 6: Final answer
    x = 1,044,484.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.