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Finding the Third Proportional to 234,104 and 552,286

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Solution

The third proportional to 234,104 and 552,286 is: 1,302,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,104 : 552,286 = 552,286 : x
  2. Step 2: Convert to fraction form
    234,104/552,286 = 552,286/x
  3. Step 3: Cross multiply
    234,104x = 552,286 × 552,286
  4. Step 4: Simplify right side
    234,104x = 305,019,825,796
  5. Step 5: Solve for x
    x = 305,019,825,796/234,104
  6. Step 6: Final answer
    x = 1,302,924.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.