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Finding the Third Proportional to 237,022.50 and 440,418

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Solution

The third proportional to 237,022.50 and 440,418 is: 818,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,022.50 : 440,418 = 440,418 : x
  2. Step 2: Convert to fraction form
    237,022.50/440,418 = 440,418/x
  3. Step 3: Cross multiply
    237,022.50x = 440,418 × 440,418
  4. Step 4: Simplify right side
    237,022.50x = 193,968,014,724
  5. Step 5: Solve for x
    x = 193,968,014,724/237,022.50
  6. Step 6: Final answer
    x = 818,352.75

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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.