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Finding the Third Proportional to 237,020.50 and 440,414

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Solution

The third proportional to 237,020.50 and 440,414 is: 818,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,020.50 : 440,414 = 440,414 : x
  2. Step 2: Convert to fraction form
    237,020.50/440,414 = 440,414/x
  3. Step 3: Cross multiply
    237,020.50x = 440,414 × 440,414
  4. Step 4: Simplify right side
    237,020.50x = 193,964,491,396
  5. Step 5: Solve for x
    x = 193,964,491,396/237,020.50
  6. Step 6: Final answer
    x = 818,344.79

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.