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Finding the Third Proportional to 201,462 and 426,852

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Solution

The third proportional to 201,462 and 426,852 is: 904,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,462 : 426,852 = 426,852 : x
  2. Step 2: Convert to fraction form
    201,462/426,852 = 426,852/x
  3. Step 3: Cross multiply
    201,462x = 426,852 × 426,852
  4. Step 4: Simplify right side
    201,462x = 182,202,629,904
  5. Step 5: Solve for x
    x = 182,202,629,904/201,462
  6. Step 6: Final answer
    x = 904,401.97

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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.