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Finding the Third Proportional to 201,227 and 425,747

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Solution

The third proportional to 201,227 and 425,747 is: 900,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,227 : 425,747 = 425,747 : x
  2. Step 2: Convert to fraction form
    201,227/425,747 = 425,747/x
  3. Step 3: Cross multiply
    201,227x = 425,747 × 425,747
  4. Step 4: Simplify right side
    201,227x = 181,260,508,009
  5. Step 5: Solve for x
    x = 181,260,508,009/201,227
  6. Step 6: Final answer
    x = 900,776.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.