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Finding the Third Proportional to 237,019.50 and 440,412

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Solution

The third proportional to 237,019.50 and 440,412 is: 818,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,019.50 : 440,412 = 440,412 : x
  2. Step 2: Convert to fraction form
    237,019.50/440,412 = 440,412/x
  3. Step 3: Cross multiply
    237,019.50x = 440,412 × 440,412
  4. Step 4: Simplify right side
    237,019.50x = 193,962,729,744
  5. Step 5: Solve for x
    x = 193,962,729,744/237,019.50
  6. Step 6: Final answer
    x = 818,340.81

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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.