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Finding the Third Proportional to 234,223 and 520,852

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Solution

The third proportional to 234,223 and 520,852 is: 1,158,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,223 : 520,852 = 520,852 : x
  2. Step 2: Convert to fraction form
    234,223/520,852 = 520,852/x
  3. Step 3: Cross multiply
    234,223x = 520,852 × 520,852
  4. Step 4: Simplify right side
    234,223x = 271,286,805,904
  5. Step 5: Solve for x
    x = 271,286,805,904/234,223
  6. Step 6: Final answer
    x = 1,158,241.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.