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Finding the Third Proportional to 201,971 and 425,811

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Solution

The third proportional to 201,971 and 425,811 is: 897,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971 : 425,811 = 425,811 : x
  2. Step 2: Convert to fraction form
    201,971/425,811 = 425,811/x
  3. Step 3: Cross multiply
    201,971x = 425,811 × 425,811
  4. Step 4: Simplify right side
    201,971x = 181,315,007,721
  5. Step 5: Solve for x
    x = 181,315,007,721/201,971
  6. Step 6: Final answer
    x = 897,727.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.