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Finding the Third Proportional to 271,330 and 566,852

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Solution

The third proportional to 271,330 and 566,852 is: 1,184,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,330 : 566,852 = 566,852 : x
  2. Step 2: Convert to fraction form
    271,330/566,852 = 566,852/x
  3. Step 3: Cross multiply
    271,330x = 566,852 × 566,852
  4. Step 4: Simplify right side
    271,330x = 321,321,189,904
  5. Step 5: Solve for x
    x = 321,321,189,904/271,330
  6. Step 6: Final answer
    x = 1,184,244.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.