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Finding the Third Proportional to 237,993 and 500,529

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Solution

The third proportional to 237,993 and 500,529 is: 1,052,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,993 : 500,529 = 500,529 : x
  2. Step 2: Convert to fraction form
    237,993/500,529 = 500,529/x
  3. Step 3: Cross multiply
    237,993x = 500,529 × 500,529
  4. Step 4: Simplify right side
    237,993x = 250,529,279,841
  5. Step 5: Solve for x
    x = 250,529,279,841/237,993
  6. Step 6: Final answer
    x = 1,052,674.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.