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Finding the Third Proportional to 237,024 and 440,420

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Solution

The third proportional to 237,024 and 440,420 is: 818,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,024 : 440,420 = 440,420 : x
  2. Step 2: Convert to fraction form
    237,024/440,420 = 440,420/x
  3. Step 3: Cross multiply
    237,024x = 440,420 × 440,420
  4. Step 4: Simplify right side
    237,024x = 193,969,776,400
  5. Step 5: Solve for x
    x = 193,969,776,400/237,024
  6. Step 6: Final answer
    x = 818,355.00

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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.