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Finding the Third Proportional to 201,633 and 440,201

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Solution

The third proportional to 201,633 and 440,201 is: 961,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,633 : 440,201 = 440,201 : x
  2. Step 2: Convert to fraction form
    201,633/440,201 = 440,201/x
  3. Step 3: Cross multiply
    201,633x = 440,201 × 440,201
  4. Step 4: Simplify right side
    201,633x = 193,776,920,401
  5. Step 5: Solve for x
    x = 193,776,920,401/201,633
  6. Step 6: Final answer
    x = 961,037.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.