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Finding the Third Proportional to 237,027 and 520,422

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Solution

The third proportional to 237,027 and 520,422 is: 1,142,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,027 : 520,422 = 520,422 : x
  2. Step 2: Convert to fraction form
    237,027/520,422 = 520,422/x
  3. Step 3: Cross multiply
    237,027x = 520,422 × 520,422
  4. Step 4: Simplify right side
    237,027x = 270,839,058,084
  5. Step 5: Solve for x
    x = 270,839,058,084/237,027
  6. Step 6: Final answer
    x = 1,142,650.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.