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Finding the Third Proportional to 237,564 and 504,279

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Solution

The third proportional to 237,564 and 504,279 is: 1,070,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,564 : 504,279 = 504,279 : x
  2. Step 2: Convert to fraction form
    237,564/504,279 = 504,279/x
  3. Step 3: Cross multiply
    237,564x = 504,279 × 504,279
  4. Step 4: Simplify right side
    237,564x = 254,297,309,841
  5. Step 5: Solve for x
    x = 254,297,309,841/237,564
  6. Step 6: Final answer
    x = 1,070,437.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.