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Finding the Third Proportional to 237,300 and 504,744

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Solution

The third proportional to 237,300 and 504,744 is: 1,073,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,300 : 504,744 = 504,744 : x
  2. Step 2: Convert to fraction form
    237,300/504,744 = 504,744/x
  3. Step 3: Cross multiply
    237,300x = 504,744 × 504,744
  4. Step 4: Simplify right side
    237,300x = 254,766,505,536
  5. Step 5: Solve for x
    x = 254,766,505,536/237,300
  6. Step 6: Final answer
    x = 1,073,605.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.