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Finding the Third Proportional to 237,897 and 523,109

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Solution

The third proportional to 237,897 and 523,109 is: 1,150,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,897 : 523,109 = 523,109 : x
  2. Step 2: Convert to fraction form
    237,897/523,109 = 523,109/x
  3. Step 3: Cross multiply
    237,897x = 523,109 × 523,109
  4. Step 4: Simplify right side
    237,897x = 273,643,025,881
  5. Step 5: Solve for x
    x = 273,643,025,881/237,897
  6. Step 6: Final answer
    x = 1,150,258.41

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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.